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Simplifying (9x + -1y + -5)(8x) = 0 Reorder the terms: (-5 + 9x + -1y)(8x) = 0 Remove parenthesis around (8x) (-5 + 9x + -1y) * 8x = 0 Reorder the terms for easier multiplication: 8x(-5 + 9x + -1y) = 0 (-5 * 8x + 9x * 8x + -1y * 8x) = 0 Reorder the terms: (-40x + -8xy + 72x2) = 0 (-40x + -8xy + 72x2) = 0 Solving -40x + -8xy + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(-5 + -1y + 9x) = 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 + -1y + 9x)' equal to zero and attempt to solve: Simplifying -5 + -1y + 9x = 0 Reorder the terms: -5 + 9x + -1y = 0 Solving -5 + 9x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 9x + 5 + -1y = 0 + 5 Reorder the terms: -5 + 5 + 9x + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9x + -1y = 0 + 5 9x + -1y = 0 + 5 Combine like terms: 0 + 5 = 5 9x + -1y = 5 Add 'y' to each side of the equation. 9x + -1y + y = 5 + y Combine like terms: -1y + y = 0 9x + 0 = 5 + y 9x = 5 + y Divide each side by '9'. x = 0.5555555556 + 0.1111111111y Simplifying x = 0.5555555556 + 0.1111111111ySolution
x = {0, 0.5555555556 + 0.1111111111y}
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