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Simplifying -2x * -2x + -5 + 4x + -3x * 3x + -1 + 9x + -5x * 2 + 6 = 0 Reorder the terms for easier multiplication: -2 * -2x * x + -5 + 4x + -3x * 3x + -1 + 9x + -5x * 2 + 6 = 0 Multiply -2 * -2 4x * x + -5 + 4x + -3x * 3x + -1 + 9x + -5x * 2 + 6 = 0 Multiply x * x 4x2 + -5 + 4x + -3x * 3x + -1 + 9x + -5x * 2 + 6 = 0 Reorder the terms for easier multiplication: 4x2 + -5 + 4x + -3 * 3x * x + -1 + 9x + -5x * 2 + 6 = 0 Multiply -3 * 3 4x2 + -5 + 4x + -9x * x + -1 + 9x + -5x * 2 + 6 = 0 Multiply x * x 4x2 + -5 + 4x + -9x2 + -1 + 9x + -5x * 2 + 6 = 0 Reorder the terms for easier multiplication: 4x2 + -5 + 4x + -9x2 + -1 + 9x + -5 * 2x + 6 = 0 Multiply -5 * 2 4x2 + -5 + 4x + -9x2 + -1 + 9x + -10x + 6 = 0 Reorder the terms: -5 + -1 + 6 + 4x + 9x + -10x + 4x2 + -9x2 = 0 Combine like terms: -5 + -1 = -6 -6 + 6 + 4x + 9x + -10x + 4x2 + -9x2 = 0 Combine like terms: -6 + 6 = 0 0 + 4x + 9x + -10x + 4x2 + -9x2 = 0 4x + 9x + -10x + 4x2 + -9x2 = 0 Combine like terms: 4x + 9x = 13x 13x + -10x + 4x2 + -9x2 = 0 Combine like terms: 13x + -10x = 3x 3x + 4x2 + -9x2 = 0 Combine like terms: 4x2 + -9x2 = -5x2 3x + -5x2 = 0 Solving 3x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -5x) = 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 '(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 = 0.6Solution
x = {0, 0.6}
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