(5x-3)(72e^8x)-(9e^8x)(5)=0

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Solution for (5x-3)(72e^8x)-(9e^8x)(5)=0 equation:


Simplifying
(5x + -3)(72e8x) + -1(9e8x)(5) = 0

Reorder the terms:
(-3 + 5x)(72e8x) + -1(9e8x)(5) = 0

Remove parenthesis around (72e8x)
(-3 + 5x) * 72e8x + -1(9e8x)(5) = 0

Reorder the terms for easier multiplication:
72e8x(-3 + 5x) + -1(9e8x)(5) = 0
(-3 * 72e8x + 5x * 72e8x) + -1(9e8x)(5) = 0
(-216e8x + 360e8x2) + -1(9e8x)(5) = 0

Remove parenthesis around (9e8x)
-216e8x + 360e8x2 + -1 * 9e8x(5) = 0

Reorder the terms for easier multiplication:
-216e8x + 360e8x2 + -1 * 9 * 5e8x = 0

Multiply -1 * 9
-216e8x + 360e8x2 + -9 * 5e8x = 0

Multiply -9 * 5
-216e8x + 360e8x2 + -45e8x = 0

Reorder the terms:
-216e8x + -45e8x + 360e8x2 = 0

Combine like terms: -216e8x + -45e8x = -261e8x
-261e8x + 360e8x2 = 0

Solving
-261e8x + 360e8x2 = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), '9e8x'.
9e8x(-29 + 40x) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'e8x' equal to zero and attempt to solve: Simplifying e8x = 0 Solving e8x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e8x = 0 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 '(-29 + 40x)' equal to zero and attempt to solve: Simplifying -29 + 40x = 0 Solving -29 + 40x = 0 Move all terms containing e to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 40x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 40x = 0 + 29 40x = 0 + 29 Combine like terms: 0 + 29 = 29 40x = 29 Add '-40x' to each side of the equation. 40x + -40x = 29 + -40x Combine like terms: 40x + -40x = 0 0 = 29 + -40x Simplifying 0 = 29 + -40x 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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