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Simplifying 90x2 + -18xy + 45x = 0 Reorder the terms: 45x + -18xy + 90x2 = 0 Solving 45x + -18xy + 90x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x'. 9x(5 + -2y + 10x) = 0 Ignore the factor 9.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 + -2y + 10x)' equal to zero and attempt to solve: Simplifying 5 + -2y + 10x = 0 Reorder the terms: 5 + 10x + -2y = 0 Solving 5 + 10x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10x + -5 + -2y = 0 + -5 Reorder the terms: 5 + -5 + 10x + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10x + -2y = 0 + -5 10x + -2y = 0 + -5 Combine like terms: 0 + -5 = -5 10x + -2y = -5 Add '2y' to each side of the equation. 10x + -2y + 2y = -5 + 2y Combine like terms: -2y + 2y = 0 10x + 0 = -5 + 2y 10x = -5 + 2y Divide each side by '10'. x = -0.5 + 0.2y Simplifying x = -0.5 + 0.2ySolution
x = {0, -0.5 + 0.2y}
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