5x^2+11x+5=3x^2

Solution for 5x^2+11x+5=3x^2 equation:

Simplifying
5x2 + 11x + 5 = 3x2

Reorder the terms:
5 + 11x + 5x2 = 3x2

Solving
5 + 11x + 5x2 = 3x2

Solving for variable 'x'.

Combine like terms: 5x2 + -3x2 = 2x2
5 + 11x + 2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + 11x + 2x2 = 0

Factor a trinomial.
(5 + x)(1 + 2x) = 0

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

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

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
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 = {-5, -0.5}