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Simplifying -3x2 + 5x + -1(17x2 + 8x) = 0 Reorder the terms: -3x2 + 5x + -1(8x + 17x2) = 0 -3x2 + 5x + (8x * -1 + 17x2 * -1) = 0 -3x2 + 5x + (-8x + -17x2) = 0 Reorder the terms: 5x + -8x + -3x2 + -17x2 = 0 Combine like terms: 5x + -8x = -3x -3x + -3x2 + -17x2 = 0 Combine like terms: -3x2 + -17x2 = -20x2 -3x + -20x2 = 0 Solving -3x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(3 + 20x) = 0 Ignore the factor -1.Subproblem 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 '(3 + 20x)' equal to zero and attempt to solve: Simplifying 3 + 20x = 0 Solving 3 + 20x = 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 + 20x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 20x = 0 + -3 20x = 0 + -3 Combine like terms: 0 + -3 = -3 20x = -3 Divide each side by '20'. x = -0.15 Simplifying x = -0.15Solution
x = {0, -0.15}
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