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Simplifying -5x(3x2 + -6xy + 2xy2) = 0 Reorder the terms: -5x(-6xy + 2xy2 + 3x2) = 0 (-6xy * -5x + 2xy2 * -5x + 3x2 * -5x) = 0 (30x2y + -10x2y2 + -15x3) = 0 Solving 30x2y + -10x2y2 + -15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(6y + -2y2 + -3x) = 0 Ignore the factor 5.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 '(6y + -2y2 + -3x)' equal to zero and attempt to solve: Simplifying 6y + -2y2 + -3x = 0 Reorder the terms: -3x + 6y + -2y2 = 0 Solving -3x + 6y + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -3x + 6y + -6y + -2y2 = 0 + -6y Combine like terms: 6y + -6y = 0 -3x + 0 + -2y2 = 0 + -6y -3x + -2y2 = 0 + -6y Remove the zero: -3x + -2y2 = -6y Add '2y2' to each side of the equation. -3x + -2y2 + 2y2 = -6y + 2y2 Combine like terms: -2y2 + 2y2 = 0 -3x + 0 = -6y + 2y2 -3x = -6y + 2y2 Divide each side by '-3'. x = 2y + -0.6666666667y2 Simplifying x = 2y + -0.6666666667y2Solution
x = {0, 2y + -0.6666666667y2}
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