5x^2+64=100

Solution for 5x^2+64=100 equation:

Simplifying
5x2 + 64 = 100

Reorder the terms:
64 + 5x2 = 100

Solving
64 + 5x2 = 100

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + 5x2 = 100 + -64

Combine like terms: 64 + -64 = 0
0 + 5x2 = 100 + -64
5x2 = 100 + -64

Combine like terms: 100 + -64 = 36
5x2 = 36

Divide each side by '5'.
x2 = 7.2

Simplifying
x2 = 7.2

Take the square root of each side:
x = {-2.683281573, 2.683281573}