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Simplifying 3x2 + 20x + -52 = 0 Reorder the terms: -52 + 20x + 3x2 = 0 Solving -52 + 20x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-26 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(-26 + -3x)' equal to zero and attempt to solve: Simplifying -26 + -3x = 0 Solving -26 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -3x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -3x = 0 + 26 -3x = 0 + 26 Combine like terms: 0 + 26 = 26 -3x = 26 Divide each side by '-3'. x = -8.666666667 Simplifying x = -8.666666667Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-8.666666667, 2}
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