2x(x-3)+3x(x+2)=

Solution for 2x(x-3)+3x(x+2)= equation:

Simplifying
2x(x + -3) + 3x(x + 2) = 0

Reorder the terms:
2x(-3 + x) + 3x(x + 2) = 0
(-3 * 2x + x * 2x) + 3x(x + 2) = 0
(-6x + 2x2) + 3x(x + 2) = 0

Reorder the terms:
-6x + 2x2 + 3x(2 + x) = 0
-6x + 2x2 + (2 * 3x + x * 3x) = 0
-6x + 2x2 + (6x + 3x2) = 0

Reorder the terms:
-6x + 6x + 2x2 + 3x2 = 0

Combine like terms: -6x + 6x = 0
0 + 2x2 + 3x2 = 0
2x2 + 3x2 = 0

Combine like terms: 2x2 + 3x2 = 5x2
5x2 = 0

Solving
5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}