2x+3x^2+4=5

Solution for 2x+3x^2+4=5 equation:

Simplifying
2x + 3x2 + 4 = 5

Reorder the terms:
4 + 2x + 3x2 = 5

Solving
4 + 2x + 3x2 = 5

Solving for variable 'x'.

Reorder the terms:
4 + -5 + 2x + 3x2 = 5 + -5

Combine like terms: 4 + -5 = -1
-1 + 2x + 3x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-1 + 2x + 3x2 = 0

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

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

Simplifying
-1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-1, 0.3333333333}