x^2-65x^2+784=0

Solution for x^2-65x^2+784=0 equation:

Simplifying
x2 + -65x2 + 784 = 0

Reorder the terms:
784 + x2 + -65x2 = 0

Combine like terms: x2 + -65x2 = -64x2
784 + -64x2 = 0

Solving
784 + -64x2 = 0

Solving for variable 'x'.

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

Add '-784' to each side of the equation.
784 + -784 + -64x2 = 0 + -784

Combine like terms: 784 + -784 = 0
0 + -64x2 = 0 + -784
-64x2 = 0 + -784

Combine like terms: 0 + -784 = -784
-64x2 = -784

Divide each side by '-64'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}