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Simplifying x2 = 336 + 16x Solving x2 = 336 + 16x Solving for variable 'x'. Reorder the terms: -336 + -16x + x2 = 336 + 16x + -336 + -16x Reorder the terms: -336 + -16x + x2 = 336 + -336 + 16x + -16x Combine like terms: 336 + -336 = 0 -336 + -16x + x2 = 0 + 16x + -16x -336 + -16x + x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -336 + -16x + x2 = 0 Factor a trinomial. (-12 + -1x)(28 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 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 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-12, 28}
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