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Simplifying e2x2 + -12x + 26 = 1 Reorder the terms: 26 + e2x2 + -12x = 1 Solving 26 + e2x2 + -12x = 1 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + e2x2 + -26 + -12x = 1 + -26 Reorder the terms: 26 + -26 + e2x2 + -12x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + e2x2 + -12x = 1 + -26 e2x2 + -12x = 1 + -26 Combine like terms: 1 + -26 = -25 e2x2 + -12x = -25 Add '12x' to each side of the equation. e2x2 + -12x + 12x = -25 + 12x Combine like terms: -12x + 12x = 0 e2x2 + 0 = -25 + 12x e2x2 = -25 + 12x Divide each side by 'x2'. e2 = -25x-2 + 12x-1 Simplifying e2 = -25x-2 + 12x-1 Reorder the terms: e2 + 25x-2 + -12x-1 = -25x-2 + 25x-2 + 12x-1 + -12x-1 Combine like terms: -25x-2 + 25x-2 = 0 e2 + 25x-2 + -12x-1 = 0 + 12x-1 + -12x-1 e2 + 25x-2 + -12x-1 = 12x-1 + -12x-1 Combine like terms: 12x-1 + -12x-1 = 0 e2 + 25x-2 + -12x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-2'. x-2(e2x2 + 25 + -12x) = 0Subproblem 1
Set the factor 'x-2' equal to zero and attempt to solve: Simplifying x-2 = 0 Solving x-2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-2' to each side of the equation. x-2 + -1x-2 = 0 + -1x-2 Remove the zero: 0 = -1x-2 Simplifying 0 = -1x-2 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 '(e2x2 + 25 + -12x)' equal to zero and attempt to solve: Simplifying e2x2 + 25 + -12x = 0 Reorder the terms: 25 + e2x2 + -12x = 0 Solving 25 + e2x2 + -12x = 0 Move all terms containing e to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + e2x2 + -25 + -12x = 0 + -25 Reorder the terms: 25 + -25 + e2x2 + -12x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + e2x2 + -12x = 0 + -25 e2x2 + -12x = 0 + -25 Combine like terms: 0 + -25 = -25 e2x2 + -12x = -25 Add '12x' to each side of the equation. e2x2 + -12x + 12x = -25 + 12x Combine like terms: -12x + 12x = 0 e2x2 + 0 = -25 + 12x e2x2 = -25 + 12x Divide each side by 'x2'. e2 = -25x-2 + 12x-1 Simplifying e2 = -25x-2 + 12x-1 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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