2u^2-14u+9=u^2-4u-4u+16

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Solution for 2u^2-14u+9=u^2-4u-4u+16 equation: 


Simplifying
2u2 + -14u + 9 = u2 + -4u + -4u + 16

Reorder the terms:
9 + -14u + 2u2 = u2 + -4u + -4u + 16

Reorder the terms:
9 + -14u + 2u2 = 16 + -4u + -4u + u2

Combine like terms: -4u + -4u = -8u
9 + -14u + 2u2 = 16 + -8u + u2

Solving
9 + -14u + 2u2 = 16 + -8u + u2

Solving for variable 'u'.

Reorder the terms:
9 + -16 + -14u + 8u + 2u2 + -1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Combine like terms: 9 + -16 = -7
-7 + -14u + 8u + 2u2 + -1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Combine like terms: -14u + 8u = -6u
-7 + -6u + 2u2 + -1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
-7 + -6u + 1u2 = 16 + -8u + u2 + -16 + 8u + -1u2

Reorder the terms:
-7 + -6u + 1u2 = 16 + -16 + -8u + 8u + u2 + -1u2

Combine like terms: 16 + -16 = 0
-7 + -6u + 1u2 = 0 + -8u + 8u + u2 + -1u2
-7 + -6u + 1u2 = -8u + 8u + u2 + -1u2

Combine like terms: -8u + 8u = 0
-7 + -6u + 1u2 = 0 + u2 + -1u2
-7 + -6u + 1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
-7 + -6u + 1u2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
u = {-1, 7}

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