(3x+8)(3x+8)=49

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Solution for (3x+8)(3x+8)=49 equation: 


Simplifying
(3x + 8)(3x + 8) = 49

Reorder the terms:
(8 + 3x)(3x + 8) = 49

Reorder the terms:
(8 + 3x)(8 + 3x) = 49

Multiply (8 + 3x) * (8 + 3x)
(8(8 + 3x) + 3x * (8 + 3x)) = 49
((8 * 8 + 3x * 8) + 3x * (8 + 3x)) = 49
((64 + 24x) + 3x * (8 + 3x)) = 49
(64 + 24x + (8 * 3x + 3x * 3x)) = 49
(64 + 24x + (24x + 9x2)) = 49

Combine like terms: 24x + 24x = 48x
(64 + 48x + 9x2) = 49

Solving
64 + 48x + 9x2 = 49

Solving for variable 'x'.

Reorder the terms:
64 + -49 + 48x + 9x2 = 49 + -49

Combine like terms: 64 + -49 = 15
15 + 48x + 9x2 = 49 + -49

Combine like terms: 49 + -49 = 0
15 + 48x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 16x + 3x2) = 0

Factor a trinomial.
3((5 + x)(1 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

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

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-5, -0.3333333333}

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