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Simplifying 9x2 + -6x = 6x Reorder the terms: -6x + 9x2 = 6x Solving -6x + 9x2 = 6x Solving for variable 'x'. Reorder the terms: -6x + -6x + 9x2 = 6x + -6x Combine like terms: -6x + -6x = -12x -12x + 9x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -12x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + 3x) = 0 Ignore the factor 3.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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 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 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0, 1.333333333}
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