5x^2-10-7=0

Solution for 5x^2-10-7=0 equation:

Simplifying
5x2 + -10 + -7 = 0

Reorder the terms:
-10 + -7 + 5x2 = 0

Combine like terms: -10 + -7 = -17
-17 + 5x2 = 0

Solving
-17 + 5x2 = 0

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 5x2 = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 5x2 = 0 + 17
5x2 = 0 + 17

Combine like terms: 0 + 17 = 17
5x2 = 17

Divide each side by '5'.
x2 = 3.4

Simplifying
x2 = 3.4

Take the square root of each side:
x = {-1.843908891, 1.843908891}