x(x+7)=18x

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Solution for x(x+7)=18x equation: 


Simplifying
x(x + 7) = 18x

Reorder the terms:
x(7 + x) = 18x
(7 * x + x * x) = 18x
(7x + x2) = 18x

Solving
7x + x2 = 18x

Solving for variable 'x'.

Reorder the terms:
7x + -18x + x2 = 18x + -18x

Combine like terms: 7x + -18x = -11x
-11x + x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
-11x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + x) = 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 '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Simplifying
x = 11
Solution
x = {0, 11}

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