25x^2-4e^4=

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Solution for 25x^2-4e^4= equation:


Simplifying
25x2 + -4e4 = 0

Reorder the terms:
-4e4 + 25x2 = 0

Solving
-4e4 + 25x2 = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-25x2' to each side of the equation.
-4e4 + 25x2 + -25x2 = 0 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-4e4 + 0 = 0 + -25x2
-4e4 = 0 + -25x2
Remove the zero:
-4e4 = -25x2

Divide each side by '-4'.
e4 = 6.25x2

Simplifying
e4 = 6.25x2

Combine like terms: 6.25x2 + -6.25x2 = 0.00
e4 + -6.25x2 = 0.00

Factor a difference between two squares.
(e2 + 2.5x)(e2 + -2.5x) = 0.00

Subproblem 1

Set the factor '(e2 + 2.5x)' equal to zero and attempt to solve: Simplifying e2 + 2.5x = 0 Solving e2 + 2.5x = 0 Move all terms containing e to the left, all other terms to the right. Add '-2.5x' to each side of the equation. e2 + 2.5x + -2.5x = 0 + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 e2 + 0.0 = 0 + -2.5x e2 = 0 + -2.5x Remove the zero: e2 = -2.5x Simplifying e2 = -2.5x 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 '(e2 + -2.5x)' equal to zero and attempt to solve: Simplifying e2 + -2.5x = 0 Solving e2 + -2.5x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.5x' to each side of the equation. e2 + -2.5x + 2.5x = 0 + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 e2 + 0.0 = 0 + 2.5x e2 = 0 + 2.5x Remove the zero: e2 = 2.5x Simplifying e2 = 2.5x 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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