3x(3x+9)=7x

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Solution for 3x(3x+9)=7x equation: 


Simplifying
3x(3x + 9) = 7x

Reorder the terms:
3x(9 + 3x) = 7x
(9 * 3x + 3x * 3x) = 7x
(27x + 9x2) = 7x

Solving
27x + 9x2 = 7x

Solving for variable 'x'.

Reorder the terms:
27x + -7x + 9x2 = 7x + -7x

Combine like terms: 27x + -7x = 20x
20x + 9x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
20x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + 9x) = 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 '(20 + 9x)' equal to zero and attempt to solve:

Simplifying
20 + 9x = 0

Solving
20 + 9x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 9x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = 0 + -20
9x = 0 + -20

Combine like terms: 0 + -20 = -20
9x = -20

Divide each side by '9'.
x = -2.222222222

Simplifying
x = -2.222222222
Solution
x = {0, -2.222222222}

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