-5u^2+2u+7=0

Solution for -5u^2+2u+7=0 equation:

Simplifying
-5u2 + 2u + 7 = 0

Reorder the terms:
7 + 2u + -5u2 = 0

Solving
7 + 2u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + -5u)(1 + u) = 0

Subproblem 1
Set the factor '(7 + -5u)' equal to zero and attempt to solve:

Simplifying
7 + -5u = 0

Solving
7 + -5u = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5u = 0 + -7
-5u = 0 + -7

Combine like terms: 0 + -7 = -7
-5u = -7

Divide each side by '-5'.
u = 1.4

Simplifying
u = 1.4
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 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 + u = 0 + -1

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

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

Simplifying
u = -1
Solution
u = {1.4, -1}