u^2-10u+25=2u^2-13u-3

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Solution for u^2-10u+25=2u^2-13u-3 equation: 


Simplifying
u2 + -10u + 25 = 2u2 + -13u + -3

Reorder the terms:
25 + -10u + u2 = 2u2 + -13u + -3

Reorder the terms:
25 + -10u + u2 = -3 + -13u + 2u2

Solving
25 + -10u + u2 = -3 + -13u + 2u2

Solving for variable 'u'.

Reorder the terms:
25 + 3 + -10u + 13u + u2 + -2u2 = -3 + -13u + 2u2 + 3 + 13u + -2u2

Combine like terms: 25 + 3 = 28
28 + -10u + 13u + u2 + -2u2 = -3 + -13u + 2u2 + 3 + 13u + -2u2

Combine like terms: -10u + 13u = 3u
28 + 3u + u2 + -2u2 = -3 + -13u + 2u2 + 3 + 13u + -2u2

Combine like terms: u2 + -2u2 = -1u2
28 + 3u + -1u2 = -3 + -13u + 2u2 + 3 + 13u + -2u2

Reorder the terms:
28 + 3u + -1u2 = -3 + 3 + -13u + 13u + 2u2 + -2u2

Combine like terms: -3 + 3 = 0
28 + 3u + -1u2 = 0 + -13u + 13u + 2u2 + -2u2
28 + 3u + -1u2 = -13u + 13u + 2u2 + -2u2

Combine like terms: -13u + 13u = 0
28 + 3u + -1u2 = 0 + 2u2 + -2u2
28 + 3u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
28 + 3u + -1u2 = 0

Factor a trinomial.
(7 + -1u)(4 + u) = 0


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

Simplifying
7 + -1u = 0

Solving
7 + -1u = 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 + -1u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1u = 0 + -7
-1u = 0 + -7

Combine like terms: 0 + -7 = -7
-1u = -7

Divide each side by '-1'.
u = 7

Simplifying
u = 7

Subproblem 2
Set the factor '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 0

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

Add '-4' to each side of the equation.
4 + -4 + u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + u = 0 + -4
u = 0 + -4

Combine like terms: 0 + -4 = -4
u = -4

Simplifying
u = -4
Solution
u = {7, -4}

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