4+3x*x+6=32

Solution for 4+3x*x+6=32 equation:

Simplifying
4 + 3x * x + 6 = 32

Multiply x * x
4 + 3x2 + 6 = 32

Reorder the terms:
4 + 6 + 3x2 = 32

Combine like terms: 4 + 6 = 10
10 + 3x2 = 32

Solving
10 + 3x2 = 32

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x2 = 32 + -10

Combine like terms: 10 + -10 = 0
0 + 3x2 = 32 + -10
3x2 = 32 + -10

Combine like terms: 32 + -10 = 22
3x2 = 22

Divide each side by '3'.
x2 = 7.333333333

Simplifying
x2 = 7.333333333

Take the square root of each side:
x = {-2.708012801, 2.708012801}