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

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Solution for (3x+7)(7x+3)=0 equation: 


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

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

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

Multiply (7 + 3x) * (3 + 7x)
(7(3 + 7x) + 3x * (3 + 7x)) = 0
((3 * 7 + 7x * 7) + 3x * (3 + 7x)) = 0
((21 + 49x) + 3x * (3 + 7x)) = 0
(21 + 49x + (3 * 3x + 7x * 3x)) = 0
(21 + 49x + (9x + 21x2)) = 0

Combine like terms: 49x + 9x = 58x
(21 + 58x + 21x2) = 0

Solving
21 + 58x + 21x2 = 0

Solving for variable 'x'.

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


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

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

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

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

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

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

Solving
3 + 7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7x = 0 + -3

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

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

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Solution
x = {-2.333333333, -0.4285714286}

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