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Simplifying (-5x)(8x2 + y + -2) = 0 Remove parenthesis around (-5x) -5x(8x2 + y + -2) = 0 Reorder the terms: -5x(-2 + 8x2 + y) = 0 (-2 * -5x + 8x2 * -5x + y * -5x) = 0 Reorder the terms: (10x + -5xy + -40x3) = 0 (10x + -5xy + -40x3) = 0 Solving 10x + -5xy + -40x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(2 + -1y + -8x2) = 0 Ignore the factor 5.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 '(2 + -1y + -8x2)' equal to zero and attempt to solve: Simplifying 2 + -1y + -8x2 = 0 Reorder the terms: 2 + -8x2 + -1y = 0 Solving 2 + -8x2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -8x2 + -2 + -1y = 0 + -2 Reorder the terms: 2 + -2 + -8x2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8x2 + -1y = 0 + -2 -8x2 + -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -8x2 + -1y = -2 Add 'y' to each side of the equation. -8x2 + -1y + y = -2 + y Combine like terms: -1y + y = 0 -8x2 + 0 = -2 + y -8x2 = -2 + y Divide each side by '-8'. x2 = 0.25 + -0.125y Simplifying x2 = 0.25 + -0.125y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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