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Simplifying 2x2 + -17x = -3x2 + -4x + -6 Reorder the terms: -17x + 2x2 = -3x2 + -4x + -6 Reorder the terms: -17x + 2x2 = -6 + -4x + -3x2 Solving -17x + 2x2 = -6 + -4x + -3x2 Solving for variable 'x'. Reorder the terms: 6 + -17x + 4x + 2x2 + 3x2 = -6 + -4x + -3x2 + 6 + 4x + 3x2 Combine like terms: -17x + 4x = -13x 6 + -13x + 2x2 + 3x2 = -6 + -4x + -3x2 + 6 + 4x + 3x2 Combine like terms: 2x2 + 3x2 = 5x2 6 + -13x + 5x2 = -6 + -4x + -3x2 + 6 + 4x + 3x2 Reorder the terms: 6 + -13x + 5x2 = -6 + 6 + -4x + 4x + -3x2 + 3x2 Combine like terms: -6 + 6 = 0 6 + -13x + 5x2 = 0 + -4x + 4x + -3x2 + 3x2 6 + -13x + 5x2 = -4x + 4x + -3x2 + 3x2 Combine like terms: -4x + 4x = 0 6 + -13x + 5x2 = 0 + -3x2 + 3x2 6 + -13x + 5x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 6 + -13x + 5x2 = 0 Factor a trinomial. (3 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 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 = {0.6, 2}
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