(8+2x)(16+2x)=0

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Solution for (8+2x)(16+2x)=0 equation:


Simplifying
(8 + 2x)(16 + 2x) = 0

Multiply (8 + 2x) * (16 + 2x)
(8(16 + 2x) + 2x * (16 + 2x)) = 0
((16 * 8 + 2x * 8) + 2x * (16 + 2x)) = 0
((128 + 16x) + 2x * (16 + 2x)) = 0
(128 + 16x + (16 * 2x + 2x * 2x)) = 0
(128 + 16x + (32x + 4x2)) = 0

Combine like terms: 16x + 32x = 48x
(128 + 48x + 4x2) = 0

Solving
128 + 48x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(32 + 12x + x2) = 0

Factor a trinomial.
4((8 + x)(4 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-8, -4}

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