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Simplifying (3y) * x(3x) = 180 Remove parenthesis around (3y) 3y * x(3x) = 180 Remove parenthesis around (3x) 3y * x * 3x = 180 Reorder the terms for easier multiplication: 3 * 3y * x * x = 180 Multiply 3 * 3 9y * x * x = 180 Multiply y * x 9xy * x = 180 Multiply xy * x 9x2y = 180 Solving 9x2y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '9y'. x2 = 20y-1 Simplifying x2 = 20y-1 Combine like terms: 20y-1 + -20y-1 = 0 x2 + -20y-1 = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -20) = 0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + -20)' equal to zero and attempt to solve: Simplifying x2y + -20 = 0 Reorder the terms: -20 + x2y = 0 Solving -20 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x2y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x2y = 0 + 20 x2y = 0 + 20 Combine like terms: 0 + 20 = 20 x2y = 20 Divide each side by 'y'. x2 = 20y-1 Simplifying x2 = 20y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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