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Simplifying 16x3y4 + -324xy4 = 0 Reorder the terms: -324xy4 + 16x3y4 = 0 Solving -324xy4 + 16x3y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy4'. 4xy4(-81 + 4x2) = 0 Factor a difference between two squares. 4xy4((9 + 2x)(-9 + 2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy4' equal to zero and attempt to solve: Simplifying xy4 = 0 Solving xy4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy4 = 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 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Subproblem 3
Set the factor '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 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 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5Solution
x = {-4.5, 4.5}
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