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Simplifying x2 = 2x + (-2x2) + 0 Reorder the terms: x2 = 0 + 2x + (-2x2) Remove the zero: x2 = 2x + (-2x2) Solving x2 = 2x + (-2x2) Solving for variable 'x'. Reorder the terms: -2x + x2 + (2x2) = 2x + (-2x2) + -2x + (2x2) Combine like terms: x2 + (2x2) = 3x2 -2x + 3x2 = 2x + (-2x2) + -2x + (2x2) Reorder the terms: -2x + 3x2 = 2x + -2x + (-2x2) + (2x2) Combine like terms: 2x + -2x = 0 -2x + 3x2 = 0 + (-2x2) + (2x2) -2x + 3x2 = (-2x2) + (2x2) Combine like terms: (-2x2) + (2x2) = 0 -2x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, 0.6666666667}
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