(3x+3)(x+7)=

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Solution for (3x+3)(x+7)= equation: 


Simplifying
(3x + 3)(x + 7) = 0

Reorder the terms:
(3 + 3x)(x + 7) = 0

Reorder the terms:
(3 + 3x)(7 + x) = 0

Multiply (3 + 3x) * (7 + x)
(3(7 + x) + 3x * (7 + x)) = 0
((7 * 3 + x * 3) + 3x * (7 + x)) = 0
((21 + 3x) + 3x * (7 + x)) = 0
(21 + 3x + (7 * 3x + x * 3x)) = 0
(21 + 3x + (21x + 3x2)) = 0

Combine like terms: 3x + 21x = 24x
(21 + 24x + 3x2) = 0

Solving
21 + 24x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + 8x + x2) = 0

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

Ignore the factor 3.

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

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

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

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

Simplifying
x = -7

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-7, -1}

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