1-2x^2+26=0

Solution for 1-2x^2+26=0 equation:

Simplifying
1 + -2x2 + 26 = 0

Reorder the terms:
1 + 26 + -2x2 = 0

Combine like terms: 1 + 26 = 27
27 + -2x2 = 0

Solving
27 + -2x2 = 0

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -2x2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -2x2 = 0 + -27
-2x2 = 0 + -27

Combine like terms: 0 + -27 = -27
-2x2 = -27

Divide each side by '-2'.
x2 = 13.5

Simplifying
x2 = 13.5

Take the square root of each side:
x = {-3.674234614, 3.674234614}