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Simplifying 7x2 + -6xy + 4(x2 + -1xy) = 0 Reorder the terms: 7x2 + -6xy + 4(-1xy + x2) = 0 7x2 + -6xy + (-1xy * 4 + x2 * 4) = 0 7x2 + -6xy + (-4xy + 4x2) = 0 Reorder the terms: -6xy + -4xy + 7x2 + 4x2 = 0 Combine like terms: -6xy + -4xy = -10xy -10xy + 7x2 + 4x2 = 0 Combine like terms: 7x2 + 4x2 = 11x2 -10xy + 11x2 = 0 Solving -10xy + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-10y + 11x) = 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 '(-10y + 11x)' equal to zero and attempt to solve: Simplifying -10y + 11x = 0 Reorder the terms: 11x + -10y = 0 Solving 11x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 11x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 11x + 0 = 0 + 10y 11x = 0 + 10y Remove the zero: 11x = 10y Divide each side by '11'. x = 0.9090909091y Simplifying x = 0.9090909091ySolution
x = {0, 0.9090909091y}
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