4e^3x*4e^3x-2=y

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Solution for 4e^3x*4e^3x-2=y equation:


Simplifying
4e3x * 4e3x + -2 = y

Reorder the terms for easier multiplication:
4 * 4e3x * e3x + -2 = y

Multiply 4 * 4
16e3x * e3x + -2 = y

Multiply e3x * e3x
16e6x2 + -2 = y

Reorder the terms:
-2 + 16e6x2 = y

Solving
-2 + 16e6x2 = y

Solving for variable 'e'.

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

Add '2' to each side of the equation.
-2 + 2 + 16e6x2 = 2 + y

Combine like terms: -2 + 2 = 0
0 + 16e6x2 = 2 + y
16e6x2 = 2 + y

Divide each side by '16x2'.
e6 = 0.125x-2 + 0.0625x-2y

Simplifying
e6 = 0.125x-2 + 0.0625x-2y

Reorder the terms:
e6 + -0.125x-2 + -0.0625x-2y = 0.125x-2 + -0.125x-2 + 0.0625x-2y + -0.0625x-2y

Combine like terms: 0.125x-2 + -0.125x-2 = 0.000
e6 + -0.125x-2 + -0.0625x-2y = 0.000 + 0.0625x-2y + -0.0625x-2y
e6 + -0.125x-2 + -0.0625x-2y = 0.0625x-2y + -0.0625x-2y

Combine like terms: 0.0625x-2y + -0.0625x-2y = 0.0000
e6 + -0.125x-2 + -0.0625x-2y = 0.0000

Factor out the Greatest Common Factor (GCF), 'x-2'.
x-2(e6x2 + -0.125 + -0.0625y) = 0.0000

Subproblem 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 '(e6x2 + -0.125 + -0.0625y)' equal to zero and attempt to solve: Simplifying e6x2 + -0.125 + -0.0625y = 0 Reorder the terms: -0.125 + e6x2 + -0.0625y = 0 Solving -0.125 + e6x2 + -0.0625y = 0 Move all terms containing e to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + e6x2 + 0.125 + -0.0625y = 0 + 0.125 Reorder the terms: -0.125 + 0.125 + e6x2 + -0.0625y = 0 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + e6x2 + -0.0625y = 0 + 0.125 e6x2 + -0.0625y = 0 + 0.125 Combine like terms: 0 + 0.125 = 0.125 e6x2 + -0.0625y = 0.125 Add '0.0625y' to each side of the equation. e6x2 + -0.0625y + 0.0625y = 0.125 + 0.0625y Combine like terms: -0.0625y + 0.0625y = 0.0000 e6x2 + 0.0000 = 0.125 + 0.0625y e6x2 = 0.125 + 0.0625y Divide each side by 'x2'. e6 = 0.125x-2 + 0.0625x-2y Simplifying e6 = 0.125x-2 + 0.0625x-2y 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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