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Simplifying 5x2 + -15x2 + -6xy + 18x = 0 Reorder the terms: 18x + -6xy + 5x2 + -15x2 = 0 Combine like terms: 5x2 + -15x2 = -10x2 18x + -6xy + -10x2 = 0 Solving 18x + -6xy + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(9 + -3y + -5x) = 0 Ignore the factor 2.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 + -3y + -5x)' equal to zero and attempt to solve: Simplifying 9 + -3y + -5x = 0 Reorder the terms: 9 + -5x + -3y = 0 Solving 9 + -5x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -5x + -9 + -3y = 0 + -9 Reorder the terms: 9 + -9 + -5x + -3y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x + -3y = 0 + -9 -5x + -3y = 0 + -9 Combine like terms: 0 + -9 = -9 -5x + -3y = -9 Add '3y' to each side of the equation. -5x + -3y + 3y = -9 + 3y Combine like terms: -3y + 3y = 0 -5x + 0 = -9 + 3y -5x = -9 + 3y Divide each side by '-5'. x = 1.8 + -0.6y Simplifying x = 1.8 + -0.6ySolution
x = {0, 1.8 + -0.6y}
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