Patricia Crane
2021-12-18
Answered

How do you solve $|x+4|=6$ ?

You can still ask an expert for help

Linda Birchfield

Answered 2021-12-19
Author has **39** answers

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Solution:

$x+4=-6$

$x+4-4=-6-4$

$x+0=-10$

$x=-10$

Solution 2

$x+4=6$

$x+4-4=6-4$

$x+0=2$

$x=2$

The solutions Are:$x=-10$ and $x=2$

Solution:

Solution 2

The solutions Are:

Toni Scott

Answered 2021-12-20
Author has **32** answers

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $\left|x\right|=\pm x$

$x+4=\pm 6$

Set up the positive portion of the$\pm$ solution

$x+4=6$

Move all terms not containing x to the right side of the equation.

$x=2$

Set up the negative portion of the$\pm$ solution.

$x+4=-6$

Move all terms not containing x to the right side of the equation.

$x=-10$

The solution to the equation includes both the positive and negative portions of the solution.

$x=2,-10$

Set up the positive portion of the

Move all terms not containing x to the right side of the equation.

Set up the negative portion of the

Move all terms not containing x to the right side of the equation.

The solution to the equation includes both the positive and negative portions of the solution.

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