-45=-6f(-3f-4)

Solution for -45=-6f(-3f-4) equation:

Simplifying
-45 = -6f(-3f + -4)

Reorder the terms:
-45 = -6f(-4 + -3f)
-45 = (-4 * -6f + -3f * -6f)
-45 = (24f + 18f2)

Solving
-45 = 24f + 18f2

Solving for variable 'f'.

Reorder the terms:
-45 + -24f + -18f2 = 24f + -24f + 18f2 + -18f2

Combine like terms: 24f + -24f = 0
-45 + -24f + -18f2 = 0 + 18f2 + -18f2
-45 + -24f + -18f2 = 18f2 + -18f2

Combine like terms: 18f2 + -18f2 = 0
-45 + -24f + -18f2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(15 + 8f + 6f2) = 0

Ignore the factor -3.
Subproblem 1
Set the factor '(15 + 8f + 6f2)' equal to zero and attempt to solve:

Simplifying
15 + 8f + 6f2 = 0

Solving
15 + 8f + 6f2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
2.5 + 1.333333333f + f2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 1.333333333f + -2.5 + f2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 1.333333333f + f2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1.333333333f + f2 = 0 + -2.5
1.333333333f + f2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
1.333333333f + f2 = -2.5

The f term is 1.333333333f.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333f + 0.4444444442 + f2 = -2.5 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333f + f2 = -2.5 + 0.4444444442

Combine like terms: -2.5 + 0.4444444442 = -2.0555555558
0.4444444442 + 1.333333333f + f2 = -2.0555555558

Factor a perfect square on the left side:
(f + 0.6666666665)(f + 0.6666666665) = -2.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.