96=(4+x)x

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Solution for 96=(4+x)x equation:


Simplifying
96 = (4 + x) * x

Reorder the terms for easier multiplication:
96 = x(4 + x)
96 = (4 * x + x * x)
96 = (4x + x2)

Solving
96 = 4x + x2

Solving for variable 'x'.

Reorder the terms:
96 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
96 + -4x + -1x2 = 0 + x2 + -1x2
96 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
96 + -4x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(12 + x) = 0

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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12

Solution

x = {8, -12}

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