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Simplifying 10x2 + -35xy + -45x = 0 Reorder the terms: -45x + -35xy + 10x2 = 0 Solving -45x + -35xy + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-9 + -7y + 2x) = 0 Ignore the factor 5.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 '(-9 + -7y + 2x)' equal to zero and attempt to solve: Simplifying -9 + -7y + 2x = 0 Reorder the terms: -9 + 2x + -7y = 0 Solving -9 + 2x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2x + 9 + -7y = 0 + 9 Reorder the terms: -9 + 9 + 2x + -7y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x + -7y = 0 + 9 2x + -7y = 0 + 9 Combine like terms: 0 + 9 = 9 2x + -7y = 9 Add '7y' to each side of the equation. 2x + -7y + 7y = 9 + 7y Combine like terms: -7y + 7y = 0 2x + 0 = 9 + 7y 2x = 9 + 7y Divide each side by '2'. x = 4.5 + 3.5y Simplifying x = 4.5 + 3.5ySolution
x = {0, 4.5 + 3.5y}
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