-351x=9x^2

Solution for -351x=9x^2 equation:

Simplifying
-351x = 9x2

Solving
-351x = 9x2

Solving for variable 'x'.

Combine like terms: 9x2 + -9x2 = 0
-351x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-9x'.
-9x(39 + x) = 0

Ignore the factor -9.
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 '(39 + x)' equal to zero and attempt to solve:

Simplifying
39 + x = 0

Solving
39 + x = 0

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

Add '-39' to each side of the equation.
39 + -39 + x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + x = 0 + -39
x = 0 + -39

Combine like terms: 0 + -39 = -39
x = -39

Simplifying
x = -39
Solution
x = {0, -39}