(u-4)(u-4)=2u^2-17u+30

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Solution for (u-4)(u-4)=2u^2-17u+30 equation: 


Simplifying
(u + -4)(u + -4) = 2u2 + -17u + 30

Reorder the terms:
(-4 + u)(u + -4) = 2u2 + -17u + 30

Reorder the terms:
(-4 + u)(-4 + u) = 2u2 + -17u + 30

Multiply (-4 + u) * (-4 + u)
(-4(-4 + u) + u(-4 + u)) = 2u2 + -17u + 30
((-4 * -4 + u * -4) + u(-4 + u)) = 2u2 + -17u + 30
((16 + -4u) + u(-4 + u)) = 2u2 + -17u + 30
(16 + -4u + (-4 * u + u * u)) = 2u2 + -17u + 30
(16 + -4u + (-4u + u2)) = 2u2 + -17u + 30

Combine like terms: -4u + -4u = -8u
(16 + -8u + u2) = 2u2 + -17u + 30

Reorder the terms:
16 + -8u + u2 = 30 + -17u + 2u2

Solving
16 + -8u + u2 = 30 + -17u + 2u2

Solving for variable 'u'.

Reorder the terms:
16 + -30 + -8u + 17u + u2 + -2u2 = 30 + -17u + 2u2 + -30 + 17u + -2u2

Combine like terms: 16 + -30 = -14
-14 + -8u + 17u + u2 + -2u2 = 30 + -17u + 2u2 + -30 + 17u + -2u2

Combine like terms: -8u + 17u = 9u
-14 + 9u + u2 + -2u2 = 30 + -17u + 2u2 + -30 + 17u + -2u2

Combine like terms: u2 + -2u2 = -1u2
-14 + 9u + -1u2 = 30 + -17u + 2u2 + -30 + 17u + -2u2

Reorder the terms:
-14 + 9u + -1u2 = 30 + -30 + -17u + 17u + 2u2 + -2u2

Combine like terms: 30 + -30 = 0
-14 + 9u + -1u2 = 0 + -17u + 17u + 2u2 + -2u2
-14 + 9u + -1u2 = -17u + 17u + 2u2 + -2u2

Combine like terms: -17u + 17u = 0
-14 + 9u + -1u2 = 0 + 2u2 + -2u2
-14 + 9u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-14 + 9u + -1u2 = 0

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


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

Simplifying
-7 + u = 0

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

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

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

Simplifying
u = 7

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

Simplifying
2 + -1u = 0

Solving
2 + -1u = 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 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {7, 2}

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