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Simplifying 5x(9x + 9y + 9) = 0 Reorder the terms: 5x(9 + 9x + 9y) = 0 (9 * 5x + 9x * 5x + 9y * 5x) = 0 Reorder the terms: (45x + 45xy + 45x2) = 0 (45x + 45xy + 45x2) = 0 Solving 45x + 45xy + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '45x'. 45x(1 + y + x) = 0 Ignore the factor 45.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 '(1 + y + x)' equal to zero and attempt to solve: Simplifying 1 + y + x = 0 Reorder the terms: 1 + x + y = 0 Solving 1 + x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + -1 + y = 0 + -1 Reorder the terms: 1 + -1 + x + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + y = 0 + -1 x + y = 0 + -1 Combine like terms: 0 + -1 = -1 x + y = -1 Add '-1y' to each side of the equation. x + y + -1y = -1 + -1y Combine like terms: y + -1y = 0 x + 0 = -1 + -1y x = -1 + -1y Simplifying x = -1 + -1ySolution
x = {0, -1 + -1y}
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