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Simplifying 25x4 + -1y2 = 0 Solving 25x4 + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 25x4 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 25x4 + 0 = 0 + y2 25x4 = 0 + y2 Remove the zero: 25x4 = y2 Divide each side by '25'. x4 = 0.04y2 Simplifying x4 = 0.04y2 Combine like terms: 0.04y2 + -0.04y2 = 0.00 x4 + -0.04y2 = 0.00 Factor a difference between two squares. (x2 + 0.2y)(x2 + -0.2y) = 0.00Subproblem 1
Set the factor '(x2 + 0.2y)' equal to zero and attempt to solve: Simplifying x2 + 0.2y = 0 Solving x2 + 0.2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.2y' to each side of the equation. x2 + 0.2y + -0.2y = 0 + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 x2 + 0.0 = 0 + -0.2y x2 = 0 + -0.2y Remove the zero: x2 = -0.2y Simplifying x2 = -0.2y 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 + -0.2y)' equal to zero and attempt to solve: Simplifying x2 + -0.2y = 0 Solving x2 + -0.2y = 0 Move all terms containing x to the left, all other terms to the right. Add '0.2y' to each side of the equation. x2 + -0.2y + 0.2y = 0 + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 x2 + 0.0 = 0 + 0.2y x2 = 0 + 0.2y Remove the zero: x2 = 0.2y Simplifying x2 = 0.2y 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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