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Simplifying 225x6 + -81y10 = 0 Solving 225x6 + -81y10 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y10' to each side of the equation. 225x6 + -81y10 + 81y10 = 0 + 81y10 Combine like terms: -81y10 + 81y10 = 0 225x6 + 0 = 0 + 81y10 225x6 = 0 + 81y10 Remove the zero: 225x6 = 81y10 Divide each side by '225'. x6 = 0.36y10 Simplifying x6 = 0.36y10 Combine like terms: 0.36y10 + -0.36y10 = 0.00 x6 + -0.36y10 = 0.00 Factor a difference between two squares. (x3 + 0.6y5)(x3 + -0.6y5) = 0.00Subproblem 1
Set the factor '(x3 + 0.6y5)' equal to zero and attempt to solve: Simplifying x3 + 0.6y5 = 0 Solving x3 + 0.6y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.6y5' to each side of the equation. x3 + 0.6y5 + -0.6y5 = 0 + -0.6y5 Combine like terms: 0.6y5 + -0.6y5 = 0.0 x3 + 0.0 = 0 + -0.6y5 x3 = 0 + -0.6y5 Remove the zero: x3 = -0.6y5 Simplifying x3 = -0.6y5 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 '(x3 + -0.6y5)' equal to zero and attempt to solve: Simplifying x3 + -0.6y5 = 0 Solving x3 + -0.6y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.6y5' to each side of the equation. x3 + -0.6y5 + 0.6y5 = 0 + 0.6y5 Combine like terms: -0.6y5 + 0.6y5 = 0.0 x3 + 0.0 = 0 + 0.6y5 x3 = 0 + 0.6y5 Remove the zero: x3 = 0.6y5 Simplifying x3 = 0.6y5 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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