x(-53-15x)=0

Solution for x(-53-15x)=0 equation:

Simplifying
x(-53 + -15x) = 0
(-53 * x + -15x * x) = 0
(-53x + -15x2) = 0

Solving
-53x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(53 + 15x) = 0

Ignore the factor -1.
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 '(53 + 15x)' equal to zero and attempt to solve:

Simplifying
53 + 15x = 0

Solving
53 + 15x = 0

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

Add '-53' to each side of the equation.
53 + -53 + 15x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + 15x = 0 + -53
15x = 0 + -53

Combine like terms: 0 + -53 = -53
15x = -53

Divide each side by '15'.
x = -3.533333333

Simplifying
x = -3.533333333
Solution
x = {0, -3.533333333}