(2+7f)(3-8f)=0

Solution for (2+7f)(3-8f)=0 equation:

Simplifying
(2 + 7f)(3 + -8f) = 0

Multiply (2 + 7f) * (3 + -8f)
(2(3 + -8f) + 7f * (3 + -8f)) = 0
((3 * 2 + -8f * 2) + 7f * (3 + -8f)) = 0
((6 + -16f) + 7f * (3 + -8f)) = 0
(6 + -16f + (3 * 7f + -8f * 7f)) = 0
(6 + -16f + (21f + -56f2)) = 0

Combine like terms: -16f + 21f = 5f
(6 + 5f + -56f2) = 0

Solving
6 + 5f + -56f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(3 + -8f)(2 + 7f) = 0

Subproblem 1
Set the factor '(3 + -8f)' equal to zero and attempt to solve:

Simplifying
3 + -8f = 0

Solving
3 + -8f = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8f = 0 + -3
-8f = 0 + -3

Combine like terms: 0 + -3 = -3
-8f = -3

Divide each side by '-8'.
f = 0.375

Simplifying
f = 0.375
Subproblem 2
Set the factor '(2 + 7f)' equal to zero and attempt to solve:

Simplifying
2 + 7f = 0

Solving
2 + 7f = 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 + 7f = 0 + -2

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

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

Divide each side by '7'.
f = -0.2857142857

Simplifying
f = -0.2857142857
Solution
f = {0.375, -0.2857142857}