(5f-5)x(6f-5)=

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Solution for (5f-5)x(6f-5)= equation: 


Simplifying
(5f + -5) * x(6f + -5) = 0

Reorder the terms:
(-5 + 5f) * x(6f + -5) = 0

Reorder the terms:
(-5 + 5f) * x(-5 + 6f) = 0

Reorder the terms for easier multiplication:
x(-5 + 5f)(-5 + 6f) = 0

Multiply (-5 + 5f) * (-5 + 6f)
x(-5(-5 + 6f) + 5f * (-5 + 6f)) = 0
x((-5 * -5 + 6f * -5) + 5f * (-5 + 6f)) = 0
x((25 + -30f) + 5f * (-5 + 6f)) = 0
x(25 + -30f + (-5 * 5f + 6f * 5f)) = 0
x(25 + -30f + (-25f + 30f2)) = 0

Combine like terms: -30f + -25f = -55f
x(25 + -55f + 30f2) = 0
(25 * x + -55f * x + 30f2 * x) = 0

Reorder the terms:
(-55fx + 30f2x + 25x) = 0
(-55fx + 30f2x + 25x) = 0

Solving
-55fx + 30f2x + 25x = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-11f + 6f2 + 5) = 0

Factor a trinomial.
5x((f + -1)(6f + -5)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(f + -1)' equal to zero and attempt to solve:

Simplifying
f + -1 = 0

Reorder the terms:
-1 + f = 0

Solving
-1 + f = 0

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

Add '1' to each side of the equation.
-1 + 1 + f = 0 + 1

Combine like terms: -1 + 1 = 0
0 + f = 0 + 1
f = 0 + 1

Combine like terms: 0 + 1 = 1
f = 1

Simplifying
f = 1

Subproblem 3
Set the factor '(6f + -5)' equal to zero and attempt to solve:

Simplifying
6f + -5 = 0

Reorder the terms:
-5 + 6f = 0

Solving
-5 + 6f = 0

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

Add '5' to each side of the equation.
-5 + 5 + 6f = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6f = 0 + 5
6f = 0 + 5

Combine like terms: 0 + 5 = 5
6f = 5

Divide each side by '6'.
f = 0.8333333333

Simplifying
f = 0.8333333333
Solution
f = {1, 0.8333333333}

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