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Simplifying 3x2 + -7x + -1060 = 0 Reorder the terms: -1060 + -7x + 3x2 = 0 Solving -1060 + -7x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-53 + -3x)(20 + -1x) = 0Subproblem 1
Set the factor '(-53 + -3x)' equal to zero and attempt to solve: Simplifying -53 + -3x = 0 Solving -53 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -3x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -3x = 0 + 53 -3x = 0 + 53 Combine like terms: 0 + 53 = 53 -3x = 53 Divide each side by '-3'. x = -17.66666667 Simplifying x = -17.66666667Subproblem 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 = {-17.66666667, 20}
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