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Simplifying 24 = 2x2 + 13x Reorder the terms: 24 = 13x + 2x2 Solving 24 = 13x + 2x2 Solving for variable 'x'. Reorder the terms: 24 + -13x + -2x2 = 13x + -13x + 2x2 + -2x2 Combine like terms: 13x + -13x = 0 24 + -13x + -2x2 = 0 + 2x2 + -2x2 24 + -13x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 24 + -13x + -2x2 = 0 Factor a trinomial. (3 + -2x)(8 + x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 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 = {1.5, -8}
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