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Simplifying (-8x2 + -1y)(2xy2) = 0 Remove parenthesis around (2xy2) (-8x2 + -1y) * 2xy2 = 0 Reorder the terms for easier multiplication: 2xy2(-8x2 + -1y) = 0 (-8x2 * 2xy2 + -1y * 2xy2) = 0 Reorder the terms: (-2xy3 + -16x3y2) = 0 (-2xy3 + -16x3y2) = 0 Solving -2xy3 + -16x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2xy2'. -2xy2(y + 8x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(y + 8x2)' equal to zero and attempt to solve: Simplifying y + 8x2 = 0 Reorder the terms: 8x2 + y = 0 Solving 8x2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 8x2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 8x2 + 0 = 0 + -1y 8x2 = 0 + -1y Remove the zero: 8x2 = -1y Divide each side by '8'. x2 = -0.125y Simplifying x2 = -0.125y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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