x^2+3x=45x

Solution for x^2+3x=45x equation:

Simplifying
x2 + 3x = 45x

Reorder the terms:
3x + x2 = 45x

Solving
3x + x2 = 45x

Solving for variable 'x'.

Reorder the terms:
3x + -45x + x2 = 45x + -45x

Combine like terms: 3x + -45x = -42x
-42x + x2 = 45x + -45x

Combine like terms: 45x + -45x = 0
-42x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-42 + 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 '(-42 + x)' equal to zero and attempt to solve:

Simplifying
-42 + x = 0

Solving
-42 + x = 0

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

Add '42' to each side of the equation.
-42 + 42 + x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + x = 0 + 42
x = 0 + 42

Combine like terms: 0 + 42 = 42
x = 42

Simplifying
x = 42
Solution
x = {0, 42}