100x^2+16x=0

Solution for 100x^2+16x=0 equation:

Simplifying
100x2 + 16x = 0

Reorder the terms:
16x + 100x2 = 0

Solving
16x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(4 + 25x) = 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 '(4 + 25x)' equal to zero and attempt to solve:

Simplifying
4 + 25x = 0

Solving
4 + 25x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 25x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 25x = 0 + -4
25x = 0 + -4

Combine like terms: 0 + -4 = -4
25x = -4

Divide each side by '25'.
x = -0.16

Simplifying
x = -0.16
Solution
x = {0, -0.16}