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Simplifying (17x2 + -9x) + -1(6x2 + -5x) = 0 Reorder the terms: (-9x + 17x2) + -1(6x2 + -5x) = 0 Remove parenthesis around (-9x + 17x2) -9x + 17x2 + -1(6x2 + -5x) = 0 Reorder the terms: -9x + 17x2 + -1(-5x + 6x2) = 0 -9x + 17x2 + (-5x * -1 + 6x2 * -1) = 0 -9x + 17x2 + (5x + -6x2) = 0 Reorder the terms: -9x + 5x + 17x2 + -6x2 = 0 Combine like terms: -9x + 5x = -4x -4x + 17x2 + -6x2 = 0 Combine like terms: 17x2 + -6x2 = 11x2 -4x + 11x2 = 0 Solving -4x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 11x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-4 + 11x)' equal to zero and attempt to solve: Simplifying -4 + 11x = 0 Solving -4 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 0 + 4 11x = 0 + 4 Combine like terms: 0 + 4 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636Solution
x = {0, 0.3636363636}
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