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Simplifying 0 = 90x2 + -63xy + 45x Reorder the terms: 0 = 45x + -63xy + 90x2 Solving 0 = 45x + -63xy + 90x2 Solving for variable 'x'. Remove the zero: -45x + 63xy + -90x2 = 45x + -63xy + 90x2 + -45x + 63xy + -90x2 Reorder the terms: -45x + 63xy + -90x2 = 45x + -45x + -63xy + 63xy + 90x2 + -90x2 Combine like terms: 45x + -45x = 0 -45x + 63xy + -90x2 = 0 + -63xy + 63xy + 90x2 + -90x2 -45x + 63xy + -90x2 = -63xy + 63xy + 90x2 + -90x2 Combine like terms: -63xy + 63xy = 0 -45x + 63xy + -90x2 = 0 + 90x2 + -90x2 -45x + 63xy + -90x2 = 90x2 + -90x2 Combine like terms: 90x2 + -90x2 = 0 -45x + 63xy + -90x2 = 0 Factor out the Greatest Common Factor (GCF), '9x'. 9x(-5 + 7y + -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 + 7y + -10x)' equal to zero and attempt to solve: Simplifying -5 + 7y + -10x = 0 Reorder the terms: -5 + -10x + 7y = 0 Solving -5 + -10x + 7y = 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 + 7y = 0 + 5 Reorder the terms: -5 + 5 + -10x + 7y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -10x + 7y = 0 + 5 -10x + 7y = 0 + 5 Combine like terms: 0 + 5 = 5 -10x + 7y = 5 Add '-7y' to each side of the equation. -10x + 7y + -7y = 5 + -7y Combine like terms: 7y + -7y = 0 -10x + 0 = 5 + -7y -10x = 5 + -7y Divide each side by '-10'. x = -0.5 + 0.7y Simplifying x = -0.5 + 0.7ySolution
x = {0, -0.5 + 0.7y}
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