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Simplifying 5x + -10x2 + 7xy = 0 Reorder the terms: 5x + 7xy + -10x2 = 0 Solving 5x + 7xy + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 7y + -10x) = 0Subproblem 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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