(3U+7)(U-3)=

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Solution for (3U+7)(U-3)= equation: 


Simplifying
(3U + 7)(U + -3) = 0

Reorder the terms:
(7 + 3U)(U + -3) = 0

Reorder the terms:
(7 + 3U)(-3 + U) = 0

Multiply (7 + 3U) * (-3 + U)
(7(-3 + U) + 3U * (-3 + U)) = 0
((-3 * 7 + U * 7) + 3U * (-3 + U)) = 0
((-21 + 7U) + 3U * (-3 + U)) = 0
(-21 + 7U + (-3 * 3U + U * 3U)) = 0
(-21 + 7U + (-9U + 3U2)) = 0

Combine like terms: 7U + -9U = -2U
(-21 + -2U + 3U2) = 0

Solving
-21 + -2U + 3U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-7 + -3U)(3 + -1U) = 0


Subproblem 1
Set the factor '(-7 + -3U)' equal to zero and attempt to solve:

Simplifying
-7 + -3U = 0

Solving
-7 + -3U = 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 + -3U = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3U = 0 + 7
-3U = 0 + 7

Combine like terms: 0 + 7 = 7
-3U = 7

Divide each side by '-3'.
U = -2.333333333

Simplifying
U = -2.333333333

Subproblem 2
Set the factor '(3 + -1U)' equal to zero and attempt to solve:

Simplifying
3 + -1U = 0

Solving
3 + -1U = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1U = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1U = 0 + -3
-1U = 0 + -3

Combine like terms: 0 + -3 = -3
-1U = -3

Divide each side by '-1'.
U = 3

Simplifying
U = 3
Solution
U = {-2.333333333, 3}

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