F(x)=x(3x-7)

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Solution for F(x)=x(3x-7) equation: 


Simplifying
F(x) = x(3x + -7)

Multiply F * x
xF = x(3x + -7)

Reorder the terms:
xF = x(-7 + 3x)
xF = (-7 * x + 3x * x)
xF = (-7x + 3x2)

Solving
xF = -7x + 3x2

Solving for variable 'x'.

Reorder the terms:
7x + xF + -3x2 = -7x + 3x2 + 7x + -3x2

Reorder the terms:
7x + xF + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
7x + xF + -3x2 = 0 + 3x2 + -3x2
7x + xF + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
7x + xF + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + F + -3x) = 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 '(7 + F + -3x)' equal to zero and attempt to solve:

Simplifying
7 + F + -3x = 0

Solving
7 + F + -3x = 0

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

Add '-7' to each side of the equation.
7 + F + -7 + -3x = 0 + -7

Reorder the terms:
7 + -7 + F + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + F + -3x = 0 + -7
F + -3x = 0 + -7

Combine like terms: 0 + -7 = -7
F + -3x = -7

Add '-1F' to each side of the equation.
F + -1F + -3x = -7 + -1F

Combine like terms: F + -1F = 0
0 + -3x = -7 + -1F
-3x = -7 + -1F

Divide each side by '-3'.
x = 2.333333333 + 0.3333333333F

Simplifying
x = 2.333333333 + 0.3333333333F
Solution
x = {0, 2.333333333 + 0.3333333333F}

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