(3x-5u+7)(3x+1)=

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Solution for (3x-5u+7)(3x+1)= equation: 


Simplifying
(3x + -5u + 7)(3x + 1) = 0

Reorder the terms:
(7 + -5u + 3x)(3x + 1) = 0

Reorder the terms:
(7 + -5u + 3x)(1 + 3x) = 0

Multiply (7 + -5u + 3x) * (1 + 3x)
(7(1 + 3x) + -5u * (1 + 3x) + 3x * (1 + 3x)) = 0
((1 * 7 + 3x * 7) + -5u * (1 + 3x) + 3x * (1 + 3x)) = 0
((7 + 21x) + -5u * (1 + 3x) + 3x * (1 + 3x)) = 0
(7 + 21x + (1 * -5u + 3x * -5u) + 3x * (1 + 3x)) = 0
(7 + 21x + (-5u + -15ux) + 3x * (1 + 3x)) = 0
(7 + 21x + -5u + -15ux + (1 * 3x + 3x * 3x)) = 0
(7 + 21x + -5u + -15ux + (3x + 9x2)) = 0

Reorder the terms:
(7 + -5u + -15ux + 21x + 3x + 9x2) = 0

Combine like terms: 21x + 3x = 24x
(7 + -5u + -15ux + 24x + 9x2) = 0

Solving
7 + -5u + -15ux + 24x + 9x2 = 0

Solving for variable 'u'.

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

Add '-7' to each side of the equation.
7 + -5u + -15ux + 24x + -7 + 9x2 = 0 + -7

Reorder the terms:
7 + -7 + -5u + -15ux + 24x + 9x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5u + -15ux + 24x + 9x2 = 0 + -7
-5u + -15ux + 24x + 9x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-5u + -15ux + 24x + 9x2 = -7

Add '-24x' to each side of the equation.
-5u + -15ux + 24x + -24x + 9x2 = -7 + -24x

Combine like terms: 24x + -24x = 0
-5u + -15ux + 0 + 9x2 = -7 + -24x
-5u + -15ux + 9x2 = -7 + -24x

Add '-9x2' to each side of the equation.
-5u + -15ux + 9x2 + -9x2 = -7 + -24x + -9x2

Combine like terms: 9x2 + -9x2 = 0
-5u + -15ux + 0 = -7 + -24x + -9x2
-5u + -15ux = -7 + -24x + -9x2

Reorder the terms:
7 + -5u + -15ux + 24x + 9x2 = -7 + -24x + -9x2 + 7 + 24x + 9x2

Reorder the terms:
7 + -5u + -15ux + 24x + 9x2 = -7 + 7 + -24x + 24x + -9x2 + 9x2

Combine like terms: -7 + 7 = 0
7 + -5u + -15ux + 24x + 9x2 = 0 + -24x + 24x + -9x2 + 9x2
7 + -5u + -15ux + 24x + 9x2 = -24x + 24x + -9x2 + 9x2

Combine like terms: -24x + 24x = 0
7 + -5u + -15ux + 24x + 9x2 = 0 + -9x2 + 9x2
7 + -5u + -15ux + 24x + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
7 + -5u + -15ux + 24x + 9x2 = 0

The solution to this equation could not be determined.

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