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Simplifying 4x2 + -12xy + 9x2 = 0 Reorder the terms: -12xy + 4x2 + 9x2 = 0 Combine like terms: 4x2 + 9x2 = 13x2 -12xy + 13x2 = 0 Solving -12xy + 13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12y + 13x) = 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 '(-12y + 13x)' equal to zero and attempt to solve: Simplifying -12y + 13x = 0 Reorder the terms: 13x + -12y = 0 Solving 13x + -12y = 0 Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 13x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 13x + 0 = 0 + 12y 13x = 0 + 12y Remove the zero: 13x = 12y Divide each side by '13'. x = 0.9230769231y Simplifying x = 0.9230769231ySolution
x = {0, 0.9230769231y}
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