x^2-45x=-4x

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Solution for x^2-45x=-4x equation: 


Simplifying
x2 + -45x = -4x

Reorder the terms:
-45x + x2 = -4x

Solving
-45x + x2 = -4x

Solving for variable 'x'.

Reorder the terms:
-45x + 4x + x2 = -4x + 4x

Combine like terms: -45x + 4x = -41x
-41x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-41x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-41 + 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 '(-41 + x)' equal to zero and attempt to solve:

Simplifying
-41 + x = 0

Solving
-41 + x = 0

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

Add '41' to each side of the equation.
-41 + 41 + x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + x = 0 + 41
x = 0 + 41

Combine like terms: 0 + 41 = 41
x = 41

Simplifying
x = 41
Solution
x = {0, 41}

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