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

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Solution for 396=(x+2)(x)(4) equation:


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

Reorder the terms:
396 = (2 + x)(x)(4)

Reorder the terms for easier multiplication:
396 = 4x(2 + x)
396 = (2 * 4x + x * 4x)
396 = (8x + 4x2)

Solving
396 = 8x + 4x2

Solving for variable 'x'.

Reorder the terms:
396 + -8x + -4x2 = 8x + -8x + 4x2 + -4x2

Combine like terms: 8x + -8x = 0
396 + -8x + -4x2 = 0 + 4x2 + -4x2
396 + -8x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
396 + -8x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(99 + -2x + -1x2) = 0

Factor a trinomial.
4((9 + -1x)(11 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Solution

x = {9, -11}

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