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Simplifying 24 = x(x + 5) Reorder the terms: 24 = x(5 + x) 24 = (5 * x + x * x) 24 = (5x + x2) Solving 24 = 5x + x2 Solving for variable 'x'. Reorder the terms: 24 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 24 + -5x + -1x2 = 0 + x2 + -1x2 24 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + -5x + -1x2 = 0 Factor a trinomial. (3 + -1x)(8 + x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {3, -8}
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