4x^2+20x-144x=0

Solution for 4x^2+20x-144x=0 equation:

Simplifying
4x2 + 20x + -144x = 0

Reorder the terms:
20x + -144x + 4x2 = 0

Combine like terms: 20x + -144x = -124x
-124x + 4x2 = 0

Solving
-124x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-31 + x) = 0

Ignore the factor 4.
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 '(-31 + x)' equal to zero and attempt to solve:

Simplifying
-31 + x = 0

Solving
-31 + x = 0

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

Add '31' to each side of the equation.
-31 + 31 + x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + x = 0 + 31
x = 0 + 31

Combine like terms: 0 + 31 = 31
x = 31

Simplifying
x = 31
Solution
x = {0, 31}