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Simplifying (3x + 2) * x = 120 Reorder the terms: (2 + 3x) * x = 120 Reorder the terms for easier multiplication: x(2 + 3x) = 120 (2 * x + 3x * x) = 120 (2x + 3x2) = 120 Solving 2x + 3x2 = 120 Solving for variable 'x'. Reorder the terms: -120 + 2x + 3x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 2x + 3x2 = 0 Factor a trinomial. (-20 + -3x)(6 + -1x) = 0Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-6.666666667, 6}
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