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Simplifying 3x2 + -12xy + 12x2 = 0 Reorder the terms: -12xy + 3x2 + 12x2 = 0 Combine like terms: 3x2 + 12x2 = 15x2 -12xy + 15x2 = 0 Solving -12xy + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4y + 5x) = 0 Ignore the factor 3.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 '(-4y + 5x)' equal to zero and attempt to solve: Simplifying -4y + 5x = 0 Reorder the terms: 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySolution
x = {0, 0.8y}
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