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Simplifying 3x(4x2 + -2xy) = 0 Reorder the terms: 3x(-2xy + 4x2) = 0 (-2xy * 3x + 4x2 * 3x) = 0 (-6x2y + 12x3) = 0 Solving -6x2y + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(-1y + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1y + 2x)' equal to zero and attempt to solve: Simplifying -1y + 2x = 0 Reorder the terms: 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5ySolution
x = {0, 0.5y}
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