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Simplifying -1X4 + 5x2 + 4 = 0 Reorder the terms: 4 + -1X4 + 5x2 = 0 Solving 4 + -1X4 + 5x2 = 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 + -1X4 + -4 + 5x2 = 0 + -4 Reorder the terms: 4 + -4 + -1X4 + 5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X4 + 5x2 = 0 + -4 -1X4 + 5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1X4 + 5x2 = -4 Add '-5x2' to each side of the equation. -1X4 + 5x2 + -5x2 = -4 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -1X4 + 0 = -4 + -5x2 -1X4 = -4 + -5x2 Divide each side by '-1'. X4 = 4 + 5x2 Simplifying X4 = 4 + 5x2 Reorder the terms: -4 + X4 + -5x2 = 4 + 5x2 + -4 + -5x2 Reorder the terms: -4 + X4 + -5x2 = 4 + -4 + 5x2 + -5x2 Combine like terms: 4 + -4 = 0 -4 + X4 + -5x2 = 0 + 5x2 + -5x2 -4 + X4 + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -4 + X4 + -5x2 = 0 Factor a trinomial. (X2 + -5x)(X2 + x) = 0Subproblem 1
Set the factor '(X2 + -5x)' equal to zero and attempt to solve: Simplifying X2 + -5x = 0 Solving X2 + -5x = 0 Move all terms containing X to the left, all other terms to the right. Add '5x' to each side of the equation. X2 + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 X2 + 0 = 0 + 5x X2 = 0 + 5x Remove the zero: X2 = 5x Simplifying X2 = 5x 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 + x)' equal to zero and attempt to solve: Simplifying X2 + x = 0 Solving X2 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 X2 + 0 = 0 + -1x X2 = 0 + -1x Remove the zero: X2 = -1x Simplifying X2 = -1x 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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