3x(x+7)=9x

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


Simplifying
3x(x + 7) = 9x

Reorder the terms:
3x(7 + x) = 9x
(7 * 3x + x * 3x) = 9x
(21x + 3x2) = 9x

Solving
21x + 3x2 = 9x

Solving for variable 'x'.

Reorder the terms:
21x + -9x + 3x2 = 9x + -9x

Combine like terms: 21x + -9x = 12x
12x + 3x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + x) = 0

Ignore the factor 3.

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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}

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