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Simplifying 25x4 + -49y2 = 0 Solving 25x4 + -49y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49y2' to each side of the equation. 25x4 + -49y2 + 49y2 = 0 + 49y2 Combine like terms: -49y2 + 49y2 = 0 25x4 + 0 = 0 + 49y2 25x4 = 0 + 49y2 Remove the zero: 25x4 = 49y2 Divide each side by '25'. x4 = 1.96y2 Simplifying x4 = 1.96y2 Combine like terms: 1.96y2 + -1.96y2 = 0.00 x4 + -1.96y2 = 0.00 Factor a difference between two squares. (x2 + 1.4y)(x2 + -1.4y) = 0.00Subproblem 1
Set the factor '(x2 + 1.4y)' equal to zero and attempt to solve: Simplifying x2 + 1.4y = 0 Solving x2 + 1.4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.4y' to each side of the equation. x2 + 1.4y + -1.4y = 0 + -1.4y Combine like terms: 1.4y + -1.4y = 0.0 x2 + 0.0 = 0 + -1.4y x2 = 0 + -1.4y Remove the zero: x2 = -1.4y Simplifying x2 = -1.4y 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 + -1.4y)' equal to zero and attempt to solve: Simplifying x2 + -1.4y = 0 Solving x2 + -1.4y = 0 Move all terms containing x to the left, all other terms to the right. Add '1.4y' to each side of the equation. x2 + -1.4y + 1.4y = 0 + 1.4y Combine like terms: -1.4y + 1.4y = 0.0 x2 + 0.0 = 0 + 1.4y x2 = 0 + 1.4y Remove the zero: x2 = 1.4y Simplifying x2 = 1.4y 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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