7u^2-10u=-5u+2

Solution for 7u^2-10u=-5u+2 equation:

Simplifying
7u2 + -10u = -5u + 2

Reorder the terms:
-10u + 7u2 = -5u + 2

Reorder the terms:
-10u + 7u2 = 2 + -5u

Solving
-10u + 7u2 = 2 + -5u

Solving for variable 'u'.

Reorder the terms:
-2 + -10u + 5u + 7u2 = 2 + -5u + -2 + 5u

Combine like terms: -10u + 5u = -5u
-2 + -5u + 7u2 = 2 + -5u + -2 + 5u

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

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

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

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

Subproblem 1
Set the factor '(-2 + -7u)' equal to zero and attempt to solve:

Simplifying
-2 + -7u = 0

Solving
-2 + -7u = 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 + -7u = 0 + 2

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

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

Divide each side by '-7'.
u = -0.2857142857

Simplifying
u = -0.2857142857
Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve:

Simplifying
1 + -1u = 0

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

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

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

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

Simplifying
u = 1
Solution
u = {-0.2857142857, 1}