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Simplifying (16 + -1x)(12 + -1x) = 396 Multiply (16 + -1x) * (12 + -1x) (16(12 + -1x) + -1x * (12 + -1x)) = 396 ((12 * 16 + -1x * 16) + -1x * (12 + -1x)) = 396 ((192 + -16x) + -1x * (12 + -1x)) = 396 (192 + -16x + (12 * -1x + -1x * -1x)) = 396 (192 + -16x + (-12x + 1x2)) = 396 Combine like terms: -16x + -12x = -28x (192 + -28x + 1x2) = 396 Solving 192 + -28x + 1x2 = 396 Solving for variable 'x'. Reorder the terms: 192 + -396 + -28x + 1x2 = 396 + -396 Combine like terms: 192 + -396 = -204 -204 + -28x + 1x2 = 396 + -396 Combine like terms: 396 + -396 = 0 -204 + -28x + 1x2 = 0 Factor a trinomial. (-6 + -1x)(34 + -1x) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(34 + -1x)' equal to zero and attempt to solve: Simplifying 34 + -1x = 0 Solving 34 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 0 + -34 -1x = 0 + -34 Combine like terms: 0 + -34 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34Solution
x = {-6, 34}
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