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Simplifying x2 + -87x + 1512 = 0 Reorder the terms: 1512 + -87x + x2 = 0 Solving 1512 + -87x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (24 + -1x)(63 + -1x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(63 + -1x)' equal to zero and attempt to solve: Simplifying 63 + -1x = 0 Solving 63 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -1x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -1x = 0 + -63 -1x = 0 + -63 Combine like terms: 0 + -63 = -63 -1x = -63 Divide each side by '-1'. x = 63 Simplifying x = 63Solution
x = {24, 63}
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