(-7u^2+4u-3)+(5u^2+u+6)=

Solution for (-7u^2+4u-3)+(5u^2+u+6)= equation:

Simplifying
(-7u2 + 4u + -3) + (5u2 + u + 6) = 0

Reorder the terms:
(-3 + 4u + -7u2) + (5u2 + u + 6) = 0

Remove parenthesis around (-3 + 4u + -7u2)
-3 + 4u + -7u2 + (5u2 + u + 6) = 0

Reorder the terms:
-3 + 4u + -7u2 + (6 + u + 5u2) = 0

Remove parenthesis around (6 + u + 5u2)
-3 + 4u + -7u2 + 6 + u + 5u2 = 0

Reorder the terms:
-3 + 6 + 4u + u + -7u2 + 5u2 = 0

Combine like terms: -3 + 6 = 3
3 + 4u + u + -7u2 + 5u2 = 0

Combine like terms: 4u + u = 5u
3 + 5u + -7u2 + 5u2 = 0

Combine like terms: -7u2 + 5u2 = -2u2
3 + 5u + -2u2 = 0

Solving
3 + 5u + -2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3 + -1u)(1 + 2u) = 0

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

Simplifying
3 + -1u = 0

Solving
3 + -1u = 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 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3
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 = {3, -0.5}