2x^2+x+3=3

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

Simplifying
2x2 + x + 3 = 3

Reorder the terms:
3 + x + 2x2 = 3

Add '-3' to each side of the equation.
3 + x + -3 + 2x2 = 3 + -3

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

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

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

Solving
x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}