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Simplifying 3x2 + -2x = 2x Reorder the terms: -2x + 3x2 = 2x Solving -2x + 3x2 = 2x Solving for variable 'x'. Reorder the terms: -2x + -2x + 3x2 = 2x + -2x Combine like terms: -2x + -2x = -4x -4x + 3x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -4x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 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 '(-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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