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Simplifying 6x2 + -4x = 6x Reorder the terms: -4x + 6x2 = 6x Solving -4x + 6x2 = 6x Solving for variable 'x'. Reorder the terms: -4x + -6x + 6x2 = 6x + -6x Combine like terms: -4x + -6x = -10x -10x + 6x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -10x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 3x) = 0 Ignore the factor 2.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 '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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