4x^2+2x-3x^2+4x=

Solution for 4x^2+2x-3x^2+4x= equation:

Simplifying
4x2 + 2x + -3x2 + 4x = 0

Reorder the terms:
2x + 4x + 4x2 + -3x2 = 0

Combine like terms: 2x + 4x = 6x
6x + 4x2 + -3x2 = 0

Combine like terms: 4x2 + -3x2 = 1x2
6x + 1x2 = 0

Solving
6x + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + 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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {0, -6}