8x^2-49+45=0

Solution for 8x^2-49+45=0 equation:

Simplifying
8x2 + -49 + 45 = 0

Reorder the terms:
-49 + 45 + 8x2 = 0

Combine like terms: -49 + 45 = -4
-4 + 8x2 = 0

Solving
-4 + 8x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8x2 = 0 + 4
8x2 = 0 + 4

Combine like terms: 0 + 4 = 4
8x2 = 4

Divide each side by '8'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}