(3f-2)(2f-4)=

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Solution for (3f-2)(2f-4)= equation:


Simplifying
(3f + -2)(2f + -4) = 0

Reorder the terms:
(-2 + 3f)(2f + -4) = 0

Reorder the terms:
(-2 + 3f)(-4 + 2f) = 0

Multiply (-2 + 3f) * (-4 + 2f)
(-2(-4 + 2f) + 3f * (-4 + 2f)) = 0
((-4 * -2 + 2f * -2) + 3f * (-4 + 2f)) = 0
((8 + -4f) + 3f * (-4 + 2f)) = 0
(8 + -4f + (-4 * 3f + 2f * 3f)) = 0
(8 + -4f + (-12f + 6f2)) = 0

Combine like terms: -4f + -12f = -16f
(8 + -16f + 6f2) = 0

Solving
8 + -16f + 6f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -8f + 3f2) = 0

Factor a trinomial.
2((2 + -3f)(2 + -1f)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -3f)' equal to zero and attempt to solve:

Simplifying
2 + -3f = 0

Solving
2 + -3f = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3f = 0 + -2
-3f = 0 + -2

Combine like terms: 0 + -2 = -2
-3f = -2

Divide each side by '-3'.
f = 0.6666666667

Simplifying
f = 0.6666666667

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

Simplifying
2 + -1f = 0

Solving
2 + -1f = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1f = 0 + -2
-1f = 0 + -2

Combine like terms: 0 + -2 = -2
-1f = -2

Divide each side by '-1'.
f = 2

Simplifying
f = 2
Solution
f = {0.6666666667, 2}

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