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Simplifying 12x2 + -18x2 + -10xy + 15x = 0 Reorder the terms: 15x + -10xy + 12x2 + -18x2 = 0 Combine like terms: 12x2 + -18x2 = -6x2 15x + -10xy + -6x2 = 0 Solving 15x + -10xy + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -10y + -6x) = 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 '(15 + -10y + -6x)' equal to zero and attempt to solve: Simplifying 15 + -10y + -6x = 0 Reorder the terms: 15 + -6x + -10y = 0 Solving 15 + -6x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -6x + -15 + -10y = 0 + -15 Reorder the terms: 15 + -15 + -6x + -10y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6x + -10y = 0 + -15 -6x + -10y = 0 + -15 Combine like terms: 0 + -15 = -15 -6x + -10y = -15 Add '10y' to each side of the equation. -6x + -10y + 10y = -15 + 10y Combine like terms: -10y + 10y = 0 -6x + 0 = -15 + 10y -6x = -15 + 10y Divide each side by '-6'. x = 2.5 + -1.666666667y Simplifying x = 2.5 + -1.666666667ySolution
x = {0, 2.5 + -1.666666667y}
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