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Simplifying 6x + -1x + -3x * 3x + 2x = 0 Reorder the terms for easier multiplication: 6x + -1x + -3 * 3x * x + 2x = 0 Multiply -3 * 3 6x + -1x + -9x * x + 2x = 0 Multiply x * x 6x + -1x + -9x2 + 2x = 0 Reorder the terms: 6x + -1x + 2x + -9x2 = 0 Combine like terms: 6x + -1x = 5x 5x + 2x + -9x2 = 0 Combine like terms: 5x + 2x = 7x 7x + -9x2 = 0 Solving 7x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -9x) = 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 '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {0, 0.7777777778}
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