3x^2+46x+43=0

Solution for 3x^2+46x+43=0 equation:

Simplifying
3x2 + 46x + 43 = 0

Reorder the terms:
43 + 46x + 3x2 = 0

Solving
43 + 46x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(43 + 3x)(1 + x) = 0

Subproblem 1
Set the factor '(43 + 3x)' equal to zero and attempt to solve:

Simplifying
43 + 3x = 0

Solving
43 + 3x = 0

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

Add '-43' to each side of the equation.
43 + -43 + 3x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 3x = 0 + -43
3x = 0 + -43

Combine like terms: 0 + -43 = -43
3x = -43

Divide each side by '3'.
x = -14.33333333

Simplifying
x = -14.33333333
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 = {-14.33333333, -1}