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 = -30x
-30x + 3x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-10 + 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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10
Solution
x = {0, 10}

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