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Simplifying 20x2y3z + -35x3y2z + -40x2y2z = 0 Reorder the terms: -40x2y2z + 20x2y3z + -35x3y2z = 0 Solving -40x2y2z + 20x2y3z + -35x3y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2y2z'. 5x2y2z(-8 + 4y + -7x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2y2z' equal to zero and attempt to solve: Simplifying x2y2z = 0 Solving x2y2z = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2z = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-8 + 4y + -7x)' equal to zero and attempt to solve: Simplifying -8 + 4y + -7x = 0 Reorder the terms: -8 + -7x + 4y = 0 Solving -8 + -7x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -7x + 8 + 4y = 0 + 8 Reorder the terms: -8 + 8 + -7x + 4y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x + 4y = 0 + 8 -7x + 4y = 0 + 8 Combine like terms: 0 + 8 = 8 -7x + 4y = 8 Add '-4y' to each side of the equation. -7x + 4y + -4y = 8 + -4y Combine like terms: 4y + -4y = 0 -7x + 0 = 8 + -4y -7x = 8 + -4y Divide each side by '-7'. x = -1.142857143 + 0.5714285714y Simplifying x = -1.142857143 + 0.5714285714ySolution
x = {-1.142857143 + 0.5714285714y}
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