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Simplifying -9x7y(3xz3 + -6y4 + -6z9) = 0 (3xz3 * -9x7y + -6y4 * -9x7y + -6z9 * -9x7y) = 0 Reorder the terms: (54x7yz9 + 54x7y5 + -27x8yz3) = 0 (54x7yz9 + 54x7y5 + -27x8yz3) = 0 Solving 54x7yz9 + 54x7y5 + -27x8yz3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '27x7y'. 27x7y(2z9 + 2y4 + -1xz3) = 0 Ignore the factor 27.Subproblem 1
Set the factor 'x7y' equal to zero and attempt to solve: Simplifying x7y = 0 Solving x7y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7y = 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 '(2z9 + 2y4 + -1xz3)' equal to zero and attempt to solve: Simplifying 2z9 + 2y4 + -1xz3 = 0 Reorder the terms: -1xz3 + 2y4 + 2z9 = 0 Solving -1xz3 + 2y4 + 2z9 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y4' to each side of the equation. -1xz3 + 2y4 + -2y4 + 2z9 = 0 + -2y4 Combine like terms: 2y4 + -2y4 = 0 -1xz3 + 0 + 2z9 = 0 + -2y4 -1xz3 + 2z9 = 0 + -2y4 Remove the zero: -1xz3 + 2z9 = -2y4 Add '-2z9' to each side of the equation. -1xz3 + 2z9 + -2z9 = -2y4 + -2z9 Combine like terms: 2z9 + -2z9 = 0 -1xz3 + 0 = -2y4 + -2z9 -1xz3 = -2y4 + -2z9 Divide each side by '-1z3'. x = 2y4z-3 + 2z6 Simplifying x = 2y4z-3 + 2z6Solution
x = {2y4z-3 + 2z6}
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