2x(x-7)=9x

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Solution for 2x(x-7)=9x equation: 


Simplifying
2x(x + -7) = 9x

Reorder the terms:
2x(-7 + x) = 9x
(-7 * 2x + x * 2x) = 9x
(-14x + 2x2) = 9x

Solving
-14x + 2x2 = 9x

Solving for variable 'x'.

Reorder the terms:
-14x + -9x + 2x2 = 9x + -9x

Combine like terms: -14x + -9x = -23x
-23x + 2x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-23x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-23 + 2x) = 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 '(-23 + 2x)' equal to zero and attempt to solve:

Simplifying
-23 + 2x = 0

Solving
-23 + 2x = 0

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

Add '23' to each side of the equation.
-23 + 23 + 2x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = 0 + 23
2x = 0 + 23

Combine like terms: 0 + 23 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5
Solution
x = {0, 11.5}

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