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Simplifying 15x3y4 + -60xz8 = 0 Reorder the terms: -60xz8 + 15x3y4 = 0 Solving -60xz8 + 15x3y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x'. 15x(-4z8 + x2y4) = 0 Factor a difference between two squares. 15x((2z4 + xy2)(-2z4 + xy2)) = 0 Ignore the factor 15.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 '(2z4 + xy2)' equal to zero and attempt to solve: Simplifying 2z4 + xy2 = 0 Reorder the terms: xy2 + 2z4 = 0 Solving xy2 + 2z4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2z4' to each side of the equation. xy2 + 2z4 + -2z4 = 0 + -2z4 Combine like terms: 2z4 + -2z4 = 0 xy2 + 0 = 0 + -2z4 xy2 = 0 + -2z4 Remove the zero: xy2 = -2z4 Divide each side by 'y2'. x = -2y-2z4 Simplifying x = -2y-2z4Subproblem 3
Set the factor '(-2z4 + xy2)' equal to zero and attempt to solve: Simplifying -2z4 + xy2 = 0 Reorder the terms: xy2 + -2z4 = 0 Solving xy2 + -2z4 = 0 Move all terms containing x to the left, all other terms to the right. Add '2z4' to each side of the equation. xy2 + -2z4 + 2z4 = 0 + 2z4 Combine like terms: -2z4 + 2z4 = 0 xy2 + 0 = 0 + 2z4 xy2 = 0 + 2z4 Remove the zero: xy2 = 2z4 Divide each side by 'y2'. x = 2y-2z4 Simplifying x = 2y-2z4Solution
x = {0, -2y-2z4, 2y-2z4}
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