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Simplifying 48x5y2 + -1875xy2 = 0 Reorder the terms: -1875xy2 + 48x5y2 = 0 Solving -1875xy2 + 48x5y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy2'. 3xy2(-625 + 16x4) = 0 Factor a difference between two squares. 3xy2((25 + 4x2)(-25 + 4x2)) = 0 Factor a difference between two squares. 3xy2((25 + 4x2)((5 + 2x)(-5 + 2x))) = 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 + 4x2)' equal to zero and attempt to solve: Simplifying 25 + 4x2 = 0 Solving 25 + 4x2 = 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 + 4x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x2 = 0 + -25 4x2 = 0 + -25 Combine like terms: 0 + -25 = -25 4x2 = -25 Divide each side by '4'. x2 = -6.25 Simplifying x2 = -6.25 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 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 4
Set the factor '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 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 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Solution
x = {-2.5, 2.5}
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