F(x)=-7x(x-6)

Solution for F(x)=-7x(x-6) equation:

Simplifying
F(x) = -7x(x + -6)

Multiply F * x
xF = -7x(x + -6)

Reorder the terms:
xF = -7x(-6 + x)
xF = (-6 * -7x + x * -7x)
xF = (42x + -7x2)

Solving
xF = 42x + -7x2

Solving for variable 'x'.

Reorder the terms:
-42x + xF + 7x2 = 42x + -7x2 + -42x + 7x2

Reorder the terms:
-42x + xF + 7x2 = 42x + -42x + -7x2 + 7x2

Combine like terms: 42x + -42x = 0
-42x + xF + 7x2 = 0 + -7x2 + 7x2
-42x + xF + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-42x + xF + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-42 + F + 7x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-42 + F + 7x)' equal to zero and attempt to solve:

Simplifying
-42 + F + 7x = 0

Solving
-42 + F + 7x = 0

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

Add '42' to each side of the equation.
-42 + F + 42 + 7x = 0 + 42

Reorder the terms:
-42 + 42 + F + 7x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + F + 7x = 0 + 42
F + 7x = 0 + 42

Combine like terms: 0 + 42 = 42
F + 7x = 42

Add '-1F' to each side of the equation.
F + -1F + 7x = 42 + -1F

Combine like terms: F + -1F = 0
0 + 7x = 42 + -1F
7x = 42 + -1F

Divide each side by '7'.
x = 6 + -0.1428571429F

Simplifying
x = 6 + -0.1428571429F
Solution
x = {0, 6 + -0.1428571429F}