Solve 2 12 + 4(2x + 4) = 68 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$12 + 4 ( 2 x + 4 ) ^ { 2 } = 68$$

Solve for x

$x=\frac{\sqrt{14}}{2}-2\approx -0.129171307$
$x=-\frac{\sqrt{14}}{2}-2\approx -3.870828693$

Steps by Finding Square Root

Subtract $12$ from both sides of the equation.

$$4\left(2x+4\right)^{2}+12-12=68-12$$

Subtracting $12$ from itself leaves $0$.

$$4\left(2x+4\right)^{2}=68-12$$

Subtract $12$ from $68$.

$$4\left(2x+4\right)^{2}=56$$

Divide both sides by $4$.

$$\frac{4\left(2x+4\right)^{2}}{4}=\frac{56}{4}$$

Dividing by $4$ undoes the multiplication by $4$.

$$\left(2x+4\right)^{2}=\frac{56}{4}$$

Divide $56$ by $4$.

$$\left(2x+4\right)^{2}=14$$

Take the square root of both sides of the equation.

$$2x+4=\sqrt{14}$$ $$2x+4=-\sqrt{14}$$

Subtract $4$ from both sides of the equation.

$$2x+4-4=\sqrt{14}-4$$ $$2x+4-4=-\sqrt{14}-4$$

Subtracting $4$ from itself leaves $0$.

$$2x=\sqrt{14}-4$$ $$2x=-\sqrt{14}-4$$

Subtract $4$ from $\sqrt{14}$.

$$2x=\sqrt{14}-4$$

Subtract $4$ from $-\sqrt{14}$.

$$2x=-\sqrt{14}-4$$

Divide both sides by $2$.

$$\frac{2x}{2}=\frac{\sqrt{14}-4}{2}$$ $$\frac{2x}{2}=\frac{-\sqrt{14}-4}{2}$$

Dividing by $2$ undoes the multiplication by $2$.

$$x=\frac{\sqrt{14}-4}{2}$$ $$x=\frac{-\sqrt{14}-4}{2}$$

Divide $\sqrt{14}-4$ by $2$.

$$x=\frac{\sqrt{14}}{2}-2$$

Divide $-\sqrt{14}-4$ by $2$.

$$x=-\frac{\sqrt{14}}{2}-2$$

The equation is now solved.

$$x=\frac{\sqrt{14}}{2}-2$$ $$x=-\frac{\sqrt{14}}{2}-2$$