5x^2-78=7

Solution for 5x^2-78=7 equation:

Simplifying
5x2 + -78 = 7

Reorder the terms:
-78 + 5x2 = 7

Solving
-78 + 5x2 = 7

Solving for variable 'x'.

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

Add '78' to each side of the equation.
-78 + 78 + 5x2 = 7 + 78

Combine like terms: -78 + 78 = 0
0 + 5x2 = 7 + 78
5x2 = 7 + 78

Combine like terms: 7 + 78 = 85
5x2 = 85

Divide each side by '5'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}