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Simplifying 2(x2 + -20) + 17x = -10x2 Reorder the terms: 2(-20 + x2) + 17x = -10x2 (-20 * 2 + x2 * 2) + 17x = -10x2 (-40 + 2x2) + 17x = -10x2 Reorder the terms: -40 + 17x + 2x2 = -10x2 Solving -40 + 17x + 2x2 = -10x2 Solving for variable 'x'. Combine like terms: 2x2 + 10x2 = 12x2 -40 + 17x + 12x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 -40 + 17x + 12x2 = 0 Factor a trinomial. (-8 + -3x)(5 + -4x) = 0Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-2.666666667, 1.25}
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