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Simplifying 6x2 + -8xy + 4x = 0 Reorder the terms: 4x + -8xy + 6x2 = 0 Solving 4x + -8xy + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(2 + -4y + 3x) = 0 Ignore the factor 2.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 '(2 + -4y + 3x)' equal to zero and attempt to solve: Simplifying 2 + -4y + 3x = 0 Reorder the terms: 2 + 3x + -4y = 0 Solving 2 + 3x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3x + -2 + -4y = 0 + -2 Reorder the terms: 2 + -2 + 3x + -4y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + -4y = 0 + -2 3x + -4y = 0 + -2 Combine like terms: 0 + -2 = -2 3x + -4y = -2 Add '4y' to each side of the equation. 3x + -4y + 4y = -2 + 4y Combine like terms: -4y + 4y = 0 3x + 0 = -2 + 4y 3x = -2 + 4y Divide each side by '3'. x = -0.6666666667 + 1.333333333y Simplifying x = -0.6666666667 + 1.333333333ySolution
x = {0, -0.6666666667 + 1.333333333y}
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