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Simplifying 3x2 + -4x = 1120 Reorder the terms: -4x + 3x2 = 1120 Solving -4x + 3x2 = 1120 Solving for variable 'x'. Reorder the terms: -1120 + -4x + 3x2 = 1120 + -1120 Combine like terms: 1120 + -1120 = 0 -1120 + -4x + 3x2 = 0 Factor a trinomial. (-56 + -3x)(20 + -1x) = 0Subproblem 1
Set the factor '(-56 + -3x)' equal to zero and attempt to solve: Simplifying -56 + -3x = 0 Solving -56 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -3x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -3x = 0 + 56 -3x = 0 + 56 Combine like terms: 0 + 56 = 56 -3x = 56 Divide each side by '-3'. x = -18.66666667 Simplifying x = -18.66666667Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 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 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-18.66666667, 20}
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