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Simplifying 25x4 + -81y2 = 0 Solving 25x4 + -81y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y2' to each side of the equation. 25x4 + -81y2 + 81y2 = 0 + 81y2 Combine like terms: -81y2 + 81y2 = 0 25x4 + 0 = 0 + 81y2 25x4 = 0 + 81y2 Remove the zero: 25x4 = 81y2 Divide each side by '25'. x4 = 3.24y2 Simplifying x4 = 3.24y2 Combine like terms: 3.24y2 + -3.24y2 = 0.00 x4 + -3.24y2 = 0.00 Factor a difference between two squares. (x2 + 1.8y)(x2 + -1.8y) = 0.00Subproblem 1
Set the factor '(x2 + 1.8y)' equal to zero and attempt to solve: Simplifying x2 + 1.8y = 0 Solving x2 + 1.8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.8y' to each side of the equation. x2 + 1.8y + -1.8y = 0 + -1.8y Combine like terms: 1.8y + -1.8y = 0.0 x2 + 0.0 = 0 + -1.8y x2 = 0 + -1.8y Remove the zero: x2 = -1.8y Simplifying x2 = -1.8y 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 '(x2 + -1.8y)' equal to zero and attempt to solve: Simplifying x2 + -1.8y = 0 Solving x2 + -1.8y = 0 Move all terms containing x to the left, all other terms to the right. Add '1.8y' to each side of the equation. x2 + -1.8y + 1.8y = 0 + 1.8y Combine like terms: -1.8y + 1.8y = 0.0 x2 + 0.0 = 0 + 1.8y x2 = 0 + 1.8y Remove the zero: x2 = 1.8y Simplifying x2 = 1.8y 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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