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Simplifying 3x5y3 + 9x4y3 + -162x3y3 = 0 Reorder the terms: -162x3y3 + 9x4y3 + 3x5y3 = 0 Solving -162x3y3 + 9x4y3 + 3x5y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x3y3'. 3x3y3(-54 + 3x + x2) = 0 Factor a trinomial. 3x3y3((-9 + -1x)(6 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x3y3' equal to zero and attempt to solve: Simplifying x3y3 = 0 Solving x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y3 = 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 '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-9, 6}
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