4x^2-65x^2+16=0

Solution for 4x^2-65x^2+16=0 equation:

Simplifying
4x2 + -65x2 + 16 = 0

Reorder the terms:
16 + 4x2 + -65x2 = 0

Combine like terms: 4x2 + -65x2 = -61x2
16 + -61x2 = 0

Solving
16 + -61x2 = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -61x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -61x2 = 0 + -16
-61x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-61x2 = -16

Divide each side by '-61'.
x2 = 0.262295082

Simplifying
x2 = 0.262295082

Take the square root of each side:
x = {-0.51214752, 0.51214752}