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Simplifying -2x(3x + -6y2 + 3) = 0 Reorder the terms: -2x(3 + 3x + -6y2) = 0 (3 * -2x + 3x * -2x + -6y2 * -2x) = 0 Reorder the terms: (-6x + 12xy2 + -6x2) = 0 (-6x + 12xy2 + -6x2) = 0 Solving -6x + 12xy2 + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1 + 2y2 + -1x) = 0 Ignore the factor 6.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 '(-1 + 2y2 + -1x)' equal to zero and attempt to solve: Simplifying -1 + 2y2 + -1x = 0 Reorder the terms: -1 + -1x + 2y2 = 0 Solving -1 + -1x + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x + 1 + 2y2 = 0 + 1 Reorder the terms: -1 + 1 + -1x + 2y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + 2y2 = 0 + 1 -1x + 2y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + 2y2 = 1 Add '-2y2' to each side of the equation. -1x + 2y2 + -2y2 = 1 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -1x + 0 = 1 + -2y2 -1x = 1 + -2y2 Divide each side by '-1'. x = -1 + 2y2 Simplifying x = -1 + 2y2Solution
x = {0, -1 + 2y2}
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