4x*4x=-36x

Solution for 4x*4x=-36x equation:

Simplifying
4x * 4x = -36x

Reorder the terms for easier multiplication:
4 * 4x * x = -36x

Multiply 4 * 4
16x * x = -36x

Multiply x * x
16x2 = -36x

Solving
16x2 = -36x

Solving for variable 'x'.

Reorder the terms:
36x + 16x2 = -36x + 36x

Combine like terms: -36x + 36x = 0
36x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(9 + 4x) = 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 '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {0, -2.25}