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Simplifying 144 = x2 + 32x Reorder the terms: 144 = 32x + x2 Solving 144 = 32x + x2 Solving for variable 'x'. Reorder the terms: 144 + -32x + -1x2 = 32x + -32x + x2 + -1x2 Combine like terms: 32x + -32x = 0 144 + -32x + -1x2 = 0 + x2 + -1x2 144 + -32x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 144 + -32x + -1x2 = 0 Factor a trinomial. (4 + -1x)(36 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36Solution
x = {4, -36}
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