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Simplifying X4 + -5y2 + 4 = 0 Reorder the terms: 4 + X4 + -5y2 = 0 Solving 4 + X4 + -5y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + X4 + -4 + -5y2 = 0 + -4 Reorder the terms: 4 + -4 + X4 + -5y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X4 + -5y2 = 0 + -4 X4 + -5y2 = 0 + -4 Combine like terms: 0 + -4 = -4 X4 + -5y2 = -4 Add '5y2' to each side of the equation. X4 + -5y2 + 5y2 = -4 + 5y2 Combine like terms: -5y2 + 5y2 = 0 X4 + 0 = -4 + 5y2 X4 = -4 + 5y2 Simplifying X4 = -4 + 5y2 Reorder the terms: 4 + X4 + -5y2 = -4 + 5y2 + 4 + -5y2 Reorder the terms: 4 + X4 + -5y2 = -4 + 4 + 5y2 + -5y2 Combine like terms: -4 + 4 = 0 4 + X4 + -5y2 = 0 + 5y2 + -5y2 4 + X4 + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 4 + X4 + -5y2 = 0 Factor a trinomial. (X2 + -1y)(X2 + 5y) = 0Subproblem 1
Set the factor '(X2 + -1y)' equal to zero and attempt to solve: Simplifying X2 + -1y = 0 Solving X2 + -1y = 0 Move all terms containing X to the left, all other terms to the right. Add 'y' to each side of the equation. X2 + -1y + y = 0 + y Combine like terms: -1y + y = 0 X2 + 0 = 0 + y X2 = 0 + y Remove the zero: X2 = y Simplifying X2 = y 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 + 5y)' equal to zero and attempt to solve: Simplifying X2 + 5y = 0 Solving X2 + 5y = 0 Move all terms containing X to the left, all other terms to the right. Add '-5y' to each side of the equation. X2 + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 X2 + 0 = 0 + -5y X2 = 0 + -5y Remove the zero: X2 = -5y Simplifying X2 = -5y 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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