-7u-2=5u^2

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

Simplifying
-7u + -2 = 5u2

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

Solving
-2 + -7u = 5u2

Solving for variable 'u'.

Combine like terms: 5u2 + -5u2 = 0
-2 + -7u + -5u2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 7u + 5u2) = 0

Factor a trinomial.
-1((1 + u)(2 + 5u)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + 5u)' equal to zero and attempt to solve:

Simplifying
2 + 5u = 0

Solving
2 + 5u = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5u = 0 + -2
5u = 0 + -2

Combine like terms: 0 + -2 = -2
5u = -2

Divide each side by '5'.
u = -0.4

Simplifying
u = -0.4
Solution
u = {-1, -0.4}