How to solve + 144 + 144 = 0

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 + 144 + 144 = 0 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$x ^ { 2 } + 144 = 0$$

Solve for x (complex solution)

$x=-12i$
$x=12i$

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Subtract $144$ from both sides. Anything subtracted from zero gives its negation.

$$x^{2}=-144$$

The equation is now solved.

$$x=12i$$ $$x=-12i$$

Steps Using the Quadratic Formula

Quadratic equations like this one, with an $x^{2}$ term but no $x$ term, can still be solved using the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$, once they are put in standard form: $ax^{2}+bx+c=0$.

$$x^{2}+144=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $0$ for $b$, and $144$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$x=\frac{0±\sqrt{0^{2}-4\times 144}}{2}$$

Square $0$.

$$x=\frac{0±\sqrt{-4\times 144}}{2}$$

Multiply $-4$ times $144$.

$$x=\frac{0±\sqrt{-576}}{2}$$

Take the square root of $-576$.

$$x=\frac{0±24i}{2}$$

Now solve the equation $x=\frac{0±24i}{2}$ when $±$ is plus.

$$x=12i$$

Now solve the equation $x=\frac{0±24i}{2}$ when $±$ is minus.

$$x=-12i$$

The equation is now solved.

$$x=12i$$ $$x=-12i$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x (complex solution)

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Steps Using the Quadratic Formula