160=(x+2)(2)(x)

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Solution for 160=(x+2)(2)(x) equation:


Simplifying
160 = (x + 2)(2)(x)

Reorder the terms:
160 = (2 + x)(2)(x)

Reorder the terms for easier multiplication:
160 = 2x(2 + x)
160 = (2 * 2x + x * 2x)
160 = (4x + 2x2)

Solving
160 = 4x + 2x2

Solving for variable 'x'.

Reorder the terms:
160 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
160 + -4x + -2x2 = 0 + 2x2 + -2x2
160 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
160 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(80 + -2x + -1x2) = 0

Factor a trinomial.
2((8 + -1x)(10 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10

Solution

x = {8, -10}

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