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Simplifying 20x2 + 5x + -6 = 6x2 + -12x Reorder the terms: -6 + 5x + 20x2 = 6x2 + -12x Reorder the terms: -6 + 5x + 20x2 = -12x + 6x2 Solving -6 + 5x + 20x2 = -12x + 6x2 Solving for variable 'x'. Reorder the terms: -6 + 5x + 12x + 20x2 + -6x2 = -12x + 6x2 + 12x + -6x2 Combine like terms: 5x + 12x = 17x -6 + 17x + 20x2 + -6x2 = -12x + 6x2 + 12x + -6x2 Combine like terms: 20x2 + -6x2 = 14x2 -6 + 17x + 14x2 = -12x + 6x2 + 12x + -6x2 Reorder the terms: -6 + 17x + 14x2 = -12x + 12x + 6x2 + -6x2 Combine like terms: -12x + 12x = 0 -6 + 17x + 14x2 = 0 + 6x2 + -6x2 -6 + 17x + 14x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6 + 17x + 14x2 = 0 Factor a trinomial. (-3 + -2x)(2 + -7x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-1.5, 0.2857142857}
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