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Simplifying -8x(x + -9y + 5) = 0 Reorder the terms: -8x(5 + x + -9y) = 0 (5 * -8x + x * -8x + -9y * -8x) = 0 Reorder the terms: (-40x + 72xy + -8x2) = 0 (-40x + 72xy + -8x2) = 0 Solving -40x + 72xy + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(-5 + 9y + -1x) = 0 Ignore the factor 8.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 '(-5 + 9y + -1x)' equal to zero and attempt to solve: Simplifying -5 + 9y + -1x = 0 Reorder the terms: -5 + -1x + 9y = 0 Solving -5 + -1x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1x + 5 + 9y = 0 + 5 Reorder the terms: -5 + 5 + -1x + 9y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x + 9y = 0 + 5 -1x + 9y = 0 + 5 Combine like terms: 0 + 5 = 5 -1x + 9y = 5 Add '-9y' to each side of the equation. -1x + 9y + -9y = 5 + -9y Combine like terms: 9y + -9y = 0 -1x + 0 = 5 + -9y -1x = 5 + -9y Divide each side by '-1'. x = -5 + 9y Simplifying x = -5 + 9ySolution
x = {0, -5 + 9y}
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