5x^2+10-75=0

Solution for 5x^2+10-75=0 equation:

Simplifying
5x2 + 10 + -75 = 0

Reorder the terms:
10 + -75 + 5x2 = 0

Combine like terms: 10 + -75 = -65
-65 + 5x2 = 0

Solving
-65 + 5x2 = 0

Solving for variable 'x'.

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

Add '65' to each side of the equation.
-65 + 65 + 5x2 = 0 + 65

Combine like terms: -65 + 65 = 0
0 + 5x2 = 0 + 65
5x2 = 0 + 65

Combine like terms: 0 + 65 = 65
5x2 = 65

Divide each side by '5'.
x2 = 13

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}