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Simplifying 60x2 + -12xy + 20x = 0 Reorder the terms: 20x + -12xy + 60x2 = 0 Solving 20x + -12xy + 60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(5 + -3y + 15x) = 0 Ignore the factor 4.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 + -3y + 15x)' equal to zero and attempt to solve: Simplifying 5 + -3y + 15x = 0 Reorder the terms: 5 + 15x + -3y = 0 Solving 5 + 15x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 15x + -5 + -3y = 0 + -5 Reorder the terms: 5 + -5 + 15x + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15x + -3y = 0 + -5 15x + -3y = 0 + -5 Combine like terms: 0 + -5 = -5 15x + -3y = -5 Add '3y' to each side of the equation. 15x + -3y + 3y = -5 + 3y Combine like terms: -3y + 3y = 0 15x + 0 = -5 + 3y 15x = -5 + 3y Divide each side by '15'. x = -0.3333333333 + 0.2y Simplifying x = -0.3333333333 + 0.2ySolution
x = {0, -0.3333333333 + 0.2y}
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