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Simplifying 2x3 + -2x2y + -24x2y = 0 Reorder the terms: -2x2y + -24x2y + 2x3 = 0 Combine like terms: -2x2y + -24x2y = -26x2y -26x2y + 2x3 = 0 Solving -26x2y + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-13y + x) = 0 Ignore the factor 2.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 '(-13y + x)' equal to zero and attempt to solve: Simplifying -13y + x = 0 Reorder the terms: x + -13y = 0 Solving x + -13y = 0 Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 x + 0 = 0 + 13y x = 0 + 13y Remove the zero: x = 13y Simplifying x = 13ySolution
x = {0, 13y}
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