(2f-6f+9)(2f+6f+9)=

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Solution for (2f-6f+9)(2f+6f+9)= equation: 


Simplifying
(2f + -6f + 9)(2f + 6f + 9) = 0

Reorder the terms:
(9 + 2f + -6f)(2f + 6f + 9) = 0

Combine like terms: 2f + -6f = -4f
(9 + -4f)(2f + 6f + 9) = 0

Reorder the terms:
(9 + -4f)(9 + 2f + 6f) = 0

Combine like terms: 2f + 6f = 8f
(9 + -4f)(9 + 8f) = 0

Multiply (9 + -4f) * (9 + 8f)
(9(9 + 8f) + -4f * (9 + 8f)) = 0
((9 * 9 + 8f * 9) + -4f * (9 + 8f)) = 0
((81 + 72f) + -4f * (9 + 8f)) = 0
(81 + 72f + (9 * -4f + 8f * -4f)) = 0
(81 + 72f + (-36f + -32f2)) = 0

Combine like terms: 72f + -36f = 36f
(81 + 36f + -32f2) = 0

Solving
81 + 36f + -32f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(9 + -4f)(9 + 8f) = 0


Subproblem 1
Set the factor '(9 + -4f)' equal to zero and attempt to solve:

Simplifying
9 + -4f = 0

Solving
9 + -4f = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4f = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4f = 0 + -9
-4f = 0 + -9

Combine like terms: 0 + -9 = -9
-4f = -9

Divide each side by '-4'.
f = 2.25

Simplifying
f = 2.25

Subproblem 2
Set the factor '(9 + 8f)' equal to zero and attempt to solve:

Simplifying
9 + 8f = 0

Solving
9 + 8f = 0

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

Add '-9' to each side of the equation.
9 + -9 + 8f = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8f = 0 + -9
8f = 0 + -9

Combine like terms: 0 + -9 = -9
8f = -9

Divide each side by '8'.
f = -1.125

Simplifying
f = -1.125
Solution
f = {2.25, -1.125}

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