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Simplifying (x + 2)(x)(4) = 192 Reorder the terms: (2 + x)(x)(4) = 192 Reorder the terms for easier multiplication: 4x(2 + x) = 192 (2 * 4x + x * 4x) = 192 (8x + 4x2) = 192 Solving 8x + 4x2 = 192 Solving for variable 'x'. Reorder the terms: -192 + 8x + 4x2 = 192 + -192 Combine like terms: 192 + -192 = 0 -192 + 8x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-48 + 2x + x2) = 0 Factor a trinomial. 4((-8 + -1x)(6 + -1x)) = 0 Ignore the factor 4.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 = -8Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-8, 6}
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