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Simplifying 6xy + 5x2 + -6xy + -3x + 7xy + -9x2 = 0 Reorder the terms: -3x + 6xy + -6xy + 7xy + 5x2 + -9x2 = 0 Combine like terms: 6xy + -6xy = 0 -3x + 0 + 7xy + 5x2 + -9x2 = 0 -3x + 7xy + 5x2 + -9x2 = 0 Combine like terms: 5x2 + -9x2 = -4x2 -3x + 7xy + -4x2 = 0 Solving -3x + 7xy + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 7y + -4x) = 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 '(-3 + 7y + -4x)' equal to zero and attempt to solve: Simplifying -3 + 7y + -4x = 0 Reorder the terms: -3 + -4x + 7y = 0 Solving -3 + -4x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -4x + 3 + 7y = 0 + 3 Reorder the terms: -3 + 3 + -4x + 7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x + 7y = 0 + 3 -4x + 7y = 0 + 3 Combine like terms: 0 + 3 = 3 -4x + 7y = 3 Add '-7y' to each side of the equation. -4x + 7y + -7y = 3 + -7y Combine like terms: 7y + -7y = 0 -4x + 0 = 3 + -7y -4x = 3 + -7y Divide each side by '-4'. x = -0.75 + 1.75y Simplifying x = -0.75 + 1.75ySolution
x = {0, -0.75 + 1.75y}
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