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Simplifying 0 = 243x5 * y2 + -1875x * y2 Multiply x5 * y2 0 = 243x5y2 + -1875x * y2 Multiply x * y2 0 = 243x5y2 + -1875xy2 Reorder the terms: 0 = -1875xy2 + 243x5y2 Solving 0 = -1875xy2 + 243x5y2 Solving for variable 'x'. Remove the zero: 1875xy2 + -243x5y2 = -1875xy2 + 243x5y2 + 1875xy2 + -243x5y2 Reorder the terms: 1875xy2 + -243x5y2 = -1875xy2 + 1875xy2 + 243x5y2 + -243x5y2 Combine like terms: -1875xy2 + 1875xy2 = 0 1875xy2 + -243x5y2 = 0 + 243x5y2 + -243x5y2 1875xy2 + -243x5y2 = 243x5y2 + -243x5y2 Combine like terms: 243x5y2 + -243x5y2 = 0 1875xy2 + -243x5y2 = 0 Factor out the Greatest Common Factor (GCF), '3xy2'. 3xy2(625 + -81x4) = 0 Factor a difference between two squares. 3xy2((25 + 9x2)(25 + -9x2)) = 0 Factor a difference between two squares. 3xy2((25 + 9x2)((5 + 3x)(5 + -3x))) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(25 + 9x2)' equal to zero and attempt to solve: Simplifying 25 + 9x2 = 0 Solving 25 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 9x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 9x2 = 0 + -25 9x2 = 0 + -25 Combine like terms: 0 + -25 = -25 9x2 = -25 Divide each side by '9'. x2 = -2.777777778 Simplifying x2 = -2.777777778 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 4
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-1.666666667, 1.666666667}
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