4u^2-7u-28u+49=

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Solution for 4u^2-7u-28u+49= equation: 


Simplifying
4u2 + -7u + -28u + 49 = 0

Reorder the terms:
49 + -7u + -28u + 4u2 = 0

Combine like terms: -7u + -28u = -35u
49 + -35u + 4u2 = 0

Solving
49 + -35u + 4u2 = 0

Solving for variable 'u'.

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


Subproblem 1
Set the factor '(7 + -4u)' equal to zero and attempt to solve:

Simplifying
7 + -4u = 0

Solving
7 + -4u = 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 + -4u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4u = 0 + -7
-4u = 0 + -7

Combine like terms: 0 + -7 = -7
-4u = -7

Divide each side by '-4'.
u = 1.75

Simplifying
u = 1.75

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 = {1.75, 7}

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