z^2-10z^2+24=0

Solution for z^2-10z^2+24=0 equation:

Simplifying
z2 + -10z2 + 24 = 0

Reorder the terms:
24 + z2 + -10z2 = 0

Combine like terms: z2 + -10z2 = -9z2
24 + -9z2 = 0

Solving
24 + -9z2 = 0

Solving for variable 'z'.

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

Add '-24' to each side of the equation.
24 + -24 + -9z2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -9z2 = 0 + -24
-9z2 = 0 + -24

Combine like terms: 0 + -24 = -24
-9z2 = -24

Divide each side by '-9'.
z2 = 2.666666667

Simplifying
z2 = 2.666666667

Take the square root of each side:
z = {-1.632993162, 1.632993162}