25x^2*e^2x-16=0

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Solution for 25x^2*e^2x-16=0 equation:


Simplifying
25x2 * e2x + -16 = 0

Multiply x2 * e2x
25e2x3 + -16 = 0

Reorder the terms:
-16 + 25e2x3 = 0

Solving
-16 + 25e2x3 = 0

Solving for variable 'e'.

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

Add '16' to each side of the equation.
-16 + 16 + 25e2x3 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 25e2x3 = 0 + 16
25e2x3 = 0 + 16

Combine like terms: 0 + 16 = 16
25e2x3 = 16

Divide each side by '25x3'.
e2 = 0.64x-3

Simplifying
e2 = 0.64x-3

Combine like terms: 0.64x-3 + -0.64x-3 = 0.00
e2 + -0.64x-3 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-3'.
x-3(e2x3 + -0.64) = 0.00

Subproblem 1

Set the factor 'x-3' equal to zero and attempt to solve: Simplifying x-3 = 0 Solving x-3 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-3' to each side of the equation. x-3 + -1x-3 = 0 + -1x-3 Remove the zero: 0 = -1x-3 Simplifying 0 = -1x-3 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 '(e2x3 + -0.64)' equal to zero and attempt to solve: Simplifying e2x3 + -0.64 = 0 Reorder the terms: -0.64 + e2x3 = 0 Solving -0.64 + e2x3 = 0 Move all terms containing e to the left, all other terms to the right. Add '0.64' to each side of the equation. -0.64 + 0.64 + e2x3 = 0 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + e2x3 = 0 + 0.64 e2x3 = 0 + 0.64 Combine like terms: 0 + 0.64 = 0.64 e2x3 = 0.64 Divide each side by 'x3'. e2 = 0.64x-3 Simplifying e2 = 0.64x-3 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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