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Simplifying 120 = 3x2 + 2x Reorder the terms: 120 = 2x + 3x2 Solving 120 = 2x + 3x2 Solving for variable 'x'. Reorder the terms: 120 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2 Combine like terms: 2x + -2x = 0 120 + -2x + -3x2 = 0 + 3x2 + -3x2 120 + -2x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 120 + -2x + -3x2 = 0 Factor a trinomial. (6 + -1x)(20 + 3x) = 0Subproblem 1
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 = 6Subproblem 2
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 = -6.666666667Solution
x = {6, -6.666666667}
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