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Simplifying (2x + -3) * x = 104 Reorder the terms: (-3 + 2x) * x = 104 Reorder the terms for easier multiplication: x(-3 + 2x) = 104 (-3 * x + 2x * x) = 104 (-3x + 2x2) = 104 Solving -3x + 2x2 = 104 Solving for variable 'x'. Reorder the terms: -104 + -3x + 2x2 = 104 + -104 Combine like terms: 104 + -104 = 0 -104 + -3x + 2x2 = 0 Factor a trinomial. (-13 + -2x)(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-6.5, 8}
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