10x^2+43x+33=0

Solution for 10x^2+43x+33=0 equation:

Simplifying
10x2 + 43x + 33 = 0

Reorder the terms:
33 + 43x + 10x2 = 0

Solving
33 + 43x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(33 + 10x)(1 + x) = 0

Subproblem 1
Set the factor '(33 + 10x)' equal to zero and attempt to solve:

Simplifying
33 + 10x = 0

Solving
33 + 10x = 0

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

Add '-33' to each side of the equation.
33 + -33 + 10x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 10x = 0 + -33
10x = 0 + -33

Combine like terms: 0 + -33 = -33
10x = -33

Divide each side by '10'.
x = -3.3

Simplifying
x = -3.3
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-3.3, -1}