(3x+21)(3x+21)=49

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Solution for (3x+21)(3x+21)=49 equation: 


Simplifying
(3x + 21)(3x + 21) = 49

Reorder the terms:
(21 + 3x)(3x + 21) = 49

Reorder the terms:
(21 + 3x)(21 + 3x) = 49

Multiply (21 + 3x) * (21 + 3x)
(21(21 + 3x) + 3x * (21 + 3x)) = 49
((21 * 21 + 3x * 21) + 3x * (21 + 3x)) = 49
((441 + 63x) + 3x * (21 + 3x)) = 49
(441 + 63x + (21 * 3x + 3x * 3x)) = 49
(441 + 63x + (63x + 9x2)) = 49

Combine like terms: 63x + 63x = 126x
(441 + 126x + 9x2) = 49

Solving
441 + 126x + 9x2 = 49

Solving for variable 'x'.

Reorder the terms:
441 + -49 + 126x + 9x2 = 49 + -49

Combine like terms: 441 + -49 = 392
392 + 126x + 9x2 = 49 + -49

Combine like terms: 49 + -49 = 0
392 + 126x + 9x2 = 0

Factor a trinomial.
(28 + 3x)(14 + 3x) = 0


Subproblem 1
Set the factor '(28 + 3x)' equal to zero and attempt to solve:

Simplifying
28 + 3x = 0

Solving
28 + 3x = 0

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

Add '-28' to each side of the equation.
28 + -28 + 3x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = 0 + -28
3x = 0 + -28

Combine like terms: 0 + -28 = -28
3x = -28

Divide each side by '3'.
x = -9.333333333

Simplifying
x = -9.333333333

Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Solution
x = {-9.333333333, -4.666666667}

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