How to solve 87x imes67x=3694

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 87x\times67x=3694 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$87x \times 67x=3694$$

Solve for x

$x=\frac{\sqrt{21532326}}{5829}\approx 0.796070293$
$x=-\frac{\sqrt{21532326}}{5829}\approx -0.796070293$

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Multiply $x$ and $x$ to get $x^{2}$.

$$87x^{2}\times 67=3694$$

Multiply $87$ and $67$ to get $5829$.

$$5829x^{2}=3694$$

Divide both sides by $5829$.

$$x^{2}=\frac{3694}{5829}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{21532326}}{5829}$$ $$x=-\frac{\sqrt{21532326}}{5829}$$

Steps Using the Quadratic Formula

Multiply $x$ and $x$ to get $x^{2}$.

$$87x^{2}\times 67=3694$$

Multiply $87$ and $67$ to get $5829$.

$$5829x^{2}=3694$$

Subtract $3694$ from both sides.

$$5829x^{2}-3694=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $5829$ for $a$, $0$ for $b$, and $-3694$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$x=\frac{0±\sqrt{0^{2}-4\times 5829\left(-3694\right)}}{2\times 5829}$$

Square $0$.

$$x=\frac{0±\sqrt{-4\times 5829\left(-3694\right)}}{2\times 5829}$$

Multiply $-4$ times $5829$.

$$x=\frac{0±\sqrt{-23316\left(-3694\right)}}{2\times 5829}$$

Multiply $-23316$ times $-3694$.

$$x=\frac{0±\sqrt{86129304}}{2\times 5829}$$

Take the square root of $86129304$.

$$x=\frac{0±2\sqrt{21532326}}{2\times 5829}$$

Multiply $2$ times $5829$.

$$x=\frac{0±2\sqrt{21532326}}{11658}$$

Now solve the equation $x=\frac{0±2\sqrt{21532326}}{11658}$ when $±$ is plus.

$$x=\frac{\sqrt{21532326}}{5829}$$

Now solve the equation $x=\frac{0±2\sqrt{21532326}}{11658}$ when $±$ is minus.

$$x=-\frac{\sqrt{21532326}}{5829}$$

The equation is now solved.

$$x=\frac{\sqrt{21532326}}{5829}$$ $$x=-\frac{\sqrt{21532326}}{5829}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Steps Using the Quadratic Formula