4u^2+21u-49=0

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Solution for 4u^2+21u-49=0 equation: 


Simplifying
4u2 + 21u + -49 = 0

Reorder the terms:
-49 + 21u + 4u2 = 0

Solving
-49 + 21u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(7 + -4u) = 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 '(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
Solution
u = {-7, 1.75}

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