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Simplifying x2 + -3x + -3x2 + 5x + 6 + -1x2 + -1x + -6 = 0 Reorder the terms: 6 + -6 + -3x + 5x + -1x + x2 + -3x2 + -1x2 = 0 Combine like terms: 6 + -6 = 0 0 + -3x + 5x + -1x + x2 + -3x2 + -1x2 = 0 -3x + 5x + -1x + x2 + -3x2 + -1x2 = 0 Combine like terms: -3x + 5x = 2x 2x + -1x + x2 + -3x2 + -1x2 = 0 Combine like terms: 2x + -1x = 1x 1x + x2 + -3x2 + -1x2 = 0 Combine like terms: x2 + -3x2 = -2x2 1x + -2x2 + -1x2 = 0 Combine like terms: -2x2 + -1x2 = -3x2 1x + -3x2 = 0 Solving 1x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -3x) = 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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0, 0.3333333333}
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