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