(x+2)*(x+2)=16

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Solution for (x+2)*(x+2)=16 equation:


Simplifying
(x + 2)(x + 2) = 16

Reorder the terms:
(2 + x)(x + 2) = 16

Reorder the terms:
(2 + x)(2 + x) = 16

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = 16
((2 * 2 + x * 2) + x(2 + x)) = 16
((4 + 2x) + x(2 + x)) = 16
(4 + 2x + (2 * x + x * x)) = 16
(4 + 2x + (2x + x2)) = 16

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = 16

Solving
4 + 4x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
4 + -16 + 4x + x2 = 16 + -16

Combine like terms: 4 + -16 = -12
-12 + 4x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-12 + 4x + x2 = 0

Factor a trinomial.
(-6 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-6, 2}

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