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Simplifying 5x(2x + -4y + -6) = 0 Reorder the terms: 5x(-6 + 2x + -4y) = 0 (-6 * 5x + 2x * 5x + -4y * 5x) = 0 Reorder the terms: (-30x + -20xy + 10x2) = 0 (-30x + -20xy + 10x2) = 0 Solving -30x + -20xy + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x'. 10x(-3 + -2y + x) = 0 Ignore the factor 10.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 '(-3 + -2y + x)' equal to zero and attempt to solve: Simplifying -3 + -2y + x = 0 Reorder the terms: -3 + x + -2y = 0 Solving -3 + x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + x + 3 + -2y = 0 + 3 Reorder the terms: -3 + 3 + x + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x + -2y = 0 + 3 x + -2y = 0 + 3 Combine like terms: 0 + 3 = 3 x + -2y = 3 Add '2y' to each side of the equation. x + -2y + 2y = 3 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 3 + 2y x = 3 + 2y Simplifying x = 3 + 2ySolution
x = {0, 3 + 2y}
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