5k^2+5+9k^2-8=

Solution for 5k^2+5+9k^2-8= equation:

Simplifying
5k2 + 5 + 9k2 + -8 = 0

Reorder the terms:
5 + -8 + 5k2 + 9k2 = 0

Combine like terms: 5 + -8 = -3
-3 + 5k2 + 9k2 = 0

Combine like terms: 5k2 + 9k2 = 14k2
-3 + 14k2 = 0

Solving
-3 + 14k2 = 0

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + 3 + 14k2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 14k2 = 0 + 3
14k2 = 0 + 3

Combine like terms: 0 + 3 = 3
14k2 = 3

Divide each side by '14'.
k2 = 0.2142857143

Simplifying
k2 = 0.2142857143

Take the square root of each side:
k = {-0.46291005, 0.46291005}