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Simplifying 65 = (2x + -3) * x Reorder the terms: 65 = (-3 + 2x) * x Reorder the terms for easier multiplication: 65 = x(-3 + 2x) 65 = (-3 * x + 2x * x) 65 = (-3x + 2x2) Solving 65 = -3x + 2x2 Solving for variable 'x'. Reorder the terms: 65 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 65 + 3x + -2x2 = 0 + 2x2 + -2x2 65 + 3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 65 + 3x + -2x2 = 0 Factor a trinomial. (13 + -2x)(5 + x) = 0Subproblem 1
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {6.5, -5}
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