14u^2+23u-15=

Solution for 14u^2+23u-15= equation:

Simplifying
14u2 + 23u + -15 = 0

Reorder the terms:
-15 + 23u + 14u2 = 0

Solving
-15 + 23u + 14u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-15 + -7u)(1 + -2u) = 0

Subproblem 1
Set the factor '(-15 + -7u)' equal to zero and attempt to solve:

Simplifying
-15 + -7u = 0

Solving
-15 + -7u = 0

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

Add '15' to each side of the equation.
-15 + 15 + -7u = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -7u = 0 + 15
-7u = 0 + 15

Combine like terms: 0 + 15 = 15
-7u = 15

Divide each side by '-7'.
u = -2.142857143

Simplifying
u = -2.142857143
Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve:

Simplifying
1 + -2u = 0

Solving
1 + -2u = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2u = 0 + -1
-2u = 0 + -1

Combine like terms: 0 + -1 = -1
-2u = -1

Divide each side by '-2'.
u = 0.5

Simplifying
u = 0.5
Solution
u = {-2.142857143, 0.5}