10u^2-3-(2u^2+9)=

Solution for 10u^2-3-(2u^2+9)= equation:

Simplifying
10u2 + -3 + -1(2u2 + 9) = 0

Reorder the terms:
10u2 + -3 + -1(9 + 2u2) = 0
10u2 + -3 + (9 * -1 + 2u2 * -1) = 0
10u2 + -3 + (-9 + -2u2) = 0

Reorder the terms:
-3 + -9 + 10u2 + -2u2 = 0

Combine like terms: -3 + -9 = -12
-12 + 10u2 + -2u2 = 0

Combine like terms: 10u2 + -2u2 = 8u2
-12 + 8u2 = 0

Solving
-12 + 8u2 = 0

Solving for variable 'u'.

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

Add '12' to each side of the equation.
-12 + 12 + 8u2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 8u2 = 0 + 12
8u2 = 0 + 12

Combine like terms: 0 + 12 = 12
8u2 = 12

Divide each side by '8'.
u2 = 1.5

Simplifying
u2 = 1.5

Take the square root of each side:
u = {-1.224744871, 1.224744871}