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Simplifying 4x2 + 56x + 192 = 396 Reorder the terms: 192 + 56x + 4x2 = 396 Solving 192 + 56x + 4x2 = 396 Solving for variable 'x'. Reorder the terms: 192 + -396 + 56x + 4x2 = 396 + -396 Combine like terms: 192 + -396 = -204 -204 + 56x + 4x2 = 396 + -396 Combine like terms: 396 + -396 = 0 -204 + 56x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-51 + 14x + x2) = 0 Factor a trinomial. 4((-17 + -1x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-17, 3}
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