4u^2-14u^2+12=0

Solution for 4u^2-14u^2+12=0 equation:

Simplifying
4u2 + -14u2 + 12 = 0

Reorder the terms:
12 + 4u2 + -14u2 = 0

Combine like terms: 4u2 + -14u2 = -10u2
12 + -10u2 = 0

Solving
12 + -10u2 = 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 + -10u2 = 0 + -12

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

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

Divide each side by '-10'.
u2 = 1.2

Simplifying
u2 = 1.2

Take the square root of each side:
u = {-1.095445115, 1.095445115}