(2x+4)(2x+4)=

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Solution for (2x+4)(2x+4)= equation:


Simplifying
(2x + 4)(2x + 4) = 0

Reorder the terms:
(4 + 2x)(2x + 4) = 0

Reorder the terms:
(4 + 2x)(4 + 2x) = 0

Multiply (4 + 2x) * (4 + 2x)
(4(4 + 2x) + 2x * (4 + 2x)) = 0
((4 * 4 + 2x * 4) + 2x * (4 + 2x)) = 0
((16 + 8x) + 2x * (4 + 2x)) = 0
(16 + 8x + (4 * 2x + 2x * 2x)) = 0
(16 + 8x + (8x + 4x2)) = 0

Combine like terms: 8x + 8x = 16x
(16 + 16x + 4x2) = 0

Solving
16 + 16x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 4x + x2) = 0

Factor a trinomial.
4((2 + x)(2 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-2, -2}

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