5x(x-44)=5x

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Solution for 5x(x-44)=5x equation:


Simplifying
5x(x + -44) = 5x

Reorder the terms:
5x(-44 + x) = 5x
(-44 * 5x + x * 5x) = 5x
(-220x + 5x2) = 5x

Solving
-220x + 5x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-220x + -5x + 5x2 = 5x + -5x

Combine like terms: -220x + -5x = -225x
-225x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-225x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-45 + x) = 0

Ignore the factor 5.

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 '(-45 + x)' equal to zero and attempt to solve:

Simplifying
-45 + x = 0

Solving
-45 + x = 0

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

Add '45' to each side of the equation.
-45 + 45 + x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + x = 0 + 45
x = 0 + 45

Combine like terms: 0 + 45 = 45
x = 45

Simplifying
x = 45
Solution
x = {0, 45}

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