5x^2+9=78

Solution for 5x^2+9=78 equation:

Simplifying
5x2 + 9 = 78

Reorder the terms:
9 + 5x2 = 78

Solving
9 + 5x2 = 78

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 5x2 = 78 + -9

Combine like terms: 9 + -9 = 0
0 + 5x2 = 78 + -9
5x2 = 78 + -9

Combine like terms: 78 + -9 = 69
5x2 = 69

Divide each side by '5'.
x2 = 13.8

Simplifying
x2 = 13.8

Take the square root of each side:
x = {-3.714835124, 3.714835124}