How do you solve 3k ^ { 2} + k - 30= 2k ^ { 2}?

Oct 15, 2017

$\therefore k = 5 , - 6$

Explanation:

Move all the unknowns to one side.

$3 {k}^{2} + k - 2 {k}^{2} = 30$
${k}^{2} + k = 30$
From this, we can see that by moving $30$ to the left hand side, we can form a quadratic equation and solve for $k$.
${k}^{2} + k - 30 = 0$

You can use the quadratic formula to solve for $k$ or use a calculator to find the values.

$\therefore k = 5 , - 6$