5over(x-6)=8over(x+9)

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Solution for 5over(x-6)=8over(x+9) equation:


Simplifying
5over(x + -6) = 8over(x + 9)

Reorder the terms:
5eorv(-6 + x) = 8over(x + 9)
(-6 * 5eorv + x * 5eorv) = 8over(x + 9)
(-30eorv + 5eorvx) = 8over(x + 9)

Reorder the terms:
-30eorv + 5eorvx = 8eorv(9 + x)
-30eorv + 5eorvx = (9 * 8eorv + x * 8eorv)
-30eorv + 5eorvx = (72eorv + 8eorvx)

Solving
-30eorv + 5eorvx = 72eorv + 8eorvx

Solving for variable 'e'.

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

Add '-72eorv' to each side of the equation.
-30eorv + -72eorv + 5eorvx = 72eorv + -72eorv + 8eorvx

Combine like terms: -30eorv + -72eorv = -102eorv
-102eorv + 5eorvx = 72eorv + -72eorv + 8eorvx

Combine like terms: 72eorv + -72eorv = 0
-102eorv + 5eorvx = 0 + 8eorvx
-102eorv + 5eorvx = 8eorvx

Add '-8eorvx' to each side of the equation.
-102eorv + 5eorvx + -8eorvx = 8eorvx + -8eorvx

Combine like terms: 5eorvx + -8eorvx = -3eorvx
-102eorv + -3eorvx = 8eorvx + -8eorvx

Combine like terms: 8eorvx + -8eorvx = 0
-102eorv + -3eorvx = 0

Factor out the Greatest Common Factor (GCF), '-3eorv'.
-3eorv(34 + x) = 0

Ignore the factor -3.

Subproblem 1

Set the factor 'eorv' equal to zero and attempt to solve: Simplifying eorv = 0 Solving eorv = 0 Move all terms containing e to the left, all other terms to the right. Simplifying eorv = 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 '(34 + x)' equal to zero and attempt to solve: Simplifying 34 + x = 0 Solving 34 + x = 0 Move all terms containing e to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + x = 0 + -34 x = 0 + -34 Combine like terms: 0 + -34 = -34 x = -34 Add '-1x' to each side of the equation. x + -1x = -34 + -1x Combine like terms: x + -1x = 0 0 = -34 + -1x Simplifying 0 = -34 + -1x 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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