2x^2-7+1=25

Solution for 2x^2-7+1=25 equation:

Simplifying
2x2 + -7 + 1 = 25

Reorder the terms:
-7 + 1 + 2x2 = 25

Combine like terms: -7 + 1 = -6
-6 + 2x2 = 25

Solving
-6 + 2x2 = 25

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x2 = 25 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = 25 + 6
2x2 = 25 + 6

Combine like terms: 25 + 6 = 31
2x2 = 31

Divide each side by '2'.
x2 = 15.5

Simplifying
x2 = 15.5

Take the square root of each side:
x = {-3.937003937, 3.937003937}