(4f+7)(2f-7)=

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Solution for (4f+7)(2f-7)= equation: 


Simplifying
(4f + 7)(2f + -7) = 0

Reorder the terms:
(7 + 4f)(2f + -7) = 0

Reorder the terms:
(7 + 4f)(-7 + 2f) = 0

Multiply (7 + 4f) * (-7 + 2f)
(7(-7 + 2f) + 4f * (-7 + 2f)) = 0
((-7 * 7 + 2f * 7) + 4f * (-7 + 2f)) = 0
((-49 + 14f) + 4f * (-7 + 2f)) = 0
(-49 + 14f + (-7 * 4f + 2f * 4f)) = 0
(-49 + 14f + (-28f + 8f2)) = 0

Combine like terms: 14f + -28f = -14f
(-49 + -14f + 8f2) = 0

Solving
-49 + -14f + 8f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-7 + -4f)(7 + -2f) = 0


Subproblem 1
Set the factor '(-7 + -4f)' equal to zero and attempt to solve:

Simplifying
-7 + -4f = 0

Solving
-7 + -4f = 0

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

Add '7' to each side of the equation.
-7 + 7 + -4f = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4f = 0 + 7
-4f = 0 + 7

Combine like terms: 0 + 7 = 7
-4f = 7

Divide each side by '-4'.
f = -1.75

Simplifying
f = -1.75

Subproblem 2
Set the factor '(7 + -2f)' equal to zero and attempt to solve:

Simplifying
7 + -2f = 0

Solving
7 + -2f = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2f = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2f = 0 + -7
-2f = 0 + -7

Combine like terms: 0 + -7 = -7
-2f = -7

Divide each side by '-2'.
f = 3.5

Simplifying
f = 3.5
Solution
f = {-1.75, 3.5}

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