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Simplifying 7x2 + -3xy + 5x2 = 0 Reorder the terms: -3xy + 7x2 + 5x2 = 0 Combine like terms: 7x2 + 5x2 = 12x2 -3xy + 12x2 = 0 Solving -3xy + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1y + 4x) = 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 '(-1y + 4x)' equal to zero and attempt to solve: Simplifying -1y + 4x = 0 Reorder the terms: 4x + -1y = 0 Solving 4x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x + 0 = 0 + y 4x = 0 + y Remove the zero: 4x = y Divide each side by '4'. x = 0.25y Simplifying x = 0.25ySolution
x = {0, 0.25y}
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