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Simplifying (x)(x + 24) = 3456 Reorder the terms: x(24 + x) = 3456 (24 * x + x * x) = 3456 (24x + x2) = 3456 Solving 24x + x2 = 3456 Solving for variable 'x'. Reorder the terms: -3456 + 24x + x2 = 3456 + -3456 Combine like terms: 3456 + -3456 = 0 -3456 + 24x + x2 = 0 Factor a trinomial. (-72 + -1x)(48 + -1x) = 0Subproblem 1
Set the factor '(-72 + -1x)' equal to zero and attempt to solve: Simplifying -72 + -1x = 0 Solving -72 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -1x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -1x = 0 + 72 -1x = 0 + 72 Combine like terms: 0 + 72 = 72 -1x = 72 Divide each side by '-1'. x = -72 Simplifying x = -72Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48Solution
x = {-72, 48}
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