14u^2-6u+21u-9=

Solution for 14u^2-6u+21u-9= equation:

Simplifying
14u2 + -6u + 21u + -9 = 0

Reorder the terms:
-9 + -6u + 21u + 14u2 = 0

Combine like terms: -6u + 21u = 15u
-9 + 15u + 14u2 = 0

Solving
-9 + 15u + 14u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + -2u)(3 + -7u) = 0

Subproblem 1
Set the factor '(-3 + -2u)' equal to zero and attempt to solve:

Simplifying
-3 + -2u = 0

Solving
-3 + -2u = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2u = 0 + 3
-2u = 0 + 3

Combine like terms: 0 + 3 = 3
-2u = 3

Divide each side by '-2'.
u = -1.5

Simplifying
u = -1.5
Subproblem 2
Set the factor '(3 + -7u)' equal to zero and attempt to solve:

Simplifying
3 + -7u = 0

Solving
3 + -7u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7u = 0 + -3
-7u = 0 + -3

Combine like terms: 0 + -3 = -3
-7u = -3

Divide each side by '-7'.
u = 0.4285714286

Simplifying
u = 0.4285714286
Solution
u = {-1.5, 0.4285714286}