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Simplifying 30x3y + -40x2y + -12x3 + 16x2 = 0 Reorder the terms: 16x2 + -40x2y + -12x3 + 30x3y = 0 Solving 16x2 + -40x2y + -12x3 + 30x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(8 + -20y + -6x + 15xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(8 + -20y + -6x + 15xy)' equal to zero and attempt to solve: Simplifying 8 + -20y + -6x + 15xy = 0 Reorder the terms: 8 + -6x + 15xy + -20y = 0 Solving 8 + -6x + 15xy + -20y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -6x + 15xy + -8 + -20y = 0 + -8 Reorder the terms: 8 + -8 + -6x + 15xy + -20y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6x + 15xy + -20y = 0 + -8 -6x + 15xy + -20y = 0 + -8 Combine like terms: 0 + -8 = -8 -6x + 15xy + -20y = -8 Add '20y' to each side of the equation. -6x + 15xy + -20y + 20y = -8 + 20y Combine like terms: -20y + 20y = 0 -6x + 15xy + 0 = -8 + 20y -6x + 15xy = -8 + 20y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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