91=2x^2+3+1

Solution for 91=2x^2+3+1 equation:

Simplifying
91 = 2x2 + 3 + 1

Reorder the terms:
91 = 3 + 1 + 2x2

Combine like terms: 3 + 1 = 4
91 = 4 + 2x2

Solving
91 = 4 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
91 + -2x2 = 4 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
91 + -2x2 = 4 + 0
91 + -2x2 = 4

Add '-91' to each side of the equation.
91 + -91 + -2x2 = 4 + -91

Combine like terms: 91 + -91 = 0
0 + -2x2 = 4 + -91
-2x2 = 4 + -91

Combine like terms: 4 + -91 = -87
-2x2 = -87

Divide each side by '-2'.
x2 = 43.5

Simplifying
x2 = 43.5

Take the square root of each side:
x = {-6.595452979, 6.595452979}