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Simplifying x3 + -7x2y + 6xy2 = 0 Reorder the terms: 6xy2 + -7x2y + x3 = 0 Solving 6xy2 + -7x2y + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(6y2 + -7xy + x2) = 0 Factor a trinomial. x((y + -1x)(6y + -1x)) = 0Subproblem 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 '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 0 + -1y -1x = 0 + -1y Remove the zero: -1x = -1y Divide each side by '-1'. x = y Simplifying x = ySubproblem 3
Set the factor '(6y + -1x)' equal to zero and attempt to solve: Simplifying 6y + -1x = 0 Reorder the terms: -1x + 6y = 0 Solving -1x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -1x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -1x + 0 = 0 + -6y -1x = 0 + -6y Remove the zero: -1x = -6y Divide each side by '-1'. x = 6y Simplifying x = 6ySolution
x = {0, y, 6y}
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