5x(2x+y)-9x^2=

Solution for 5x(2x+y)-9x^2= equation:

Simplifying
5x(2x + y) + -9x2 = 0
(2x * 5x + y * 5x) + -9x2 = 0

Reorder the terms:
(5xy + 10x2) + -9x2 = 0
(5xy + 10x2) + -9x2 = 0

Combine like terms: 10x2 + -9x2 = 1x2
5xy + 1x2 = 0

Solving
5xy + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5y + x) = 0

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 '(5y + x)' equal to zero and attempt to solve:

Simplifying
5y + x = 0

Reorder the terms:
x + 5y = 0

Solving
x + 5y = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 = 0 + -5y
x = 0 + -5y
Remove the zero:
x = -5y

Simplifying
x = -5y
Solution
x = {0, -5y}