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

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


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

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

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

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

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

Solving
25 + -55f + 30f2 = 0

Solving for variable 'f'.

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

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

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + -6f)' equal to zero and attempt to solve:

Simplifying
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

Subproblem 2
Set the factor '(1 + -1f)' equal to zero and attempt to solve:

Simplifying
1 + -1f = 0

Solving
1 + -1f = 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 + -1f = 0 + -1

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

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

Divide each side by '-1'.
f = 1

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

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