(6x+7)*(6x+7)=49

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Solution for (6x+7)*(6x+7)=49 equation: 


Simplifying
(6x + 7)(6x + 7) = 49

Reorder the terms:
(7 + 6x)(6x + 7) = 49

Reorder the terms:
(7 + 6x)(7 + 6x) = 49

Multiply (7 + 6x) * (7 + 6x)
(7(7 + 6x) + 6x * (7 + 6x)) = 49
((7 * 7 + 6x * 7) + 6x * (7 + 6x)) = 49
((49 + 42x) + 6x * (7 + 6x)) = 49
(49 + 42x + (7 * 6x + 6x * 6x)) = 49
(49 + 42x + (42x + 36x2)) = 49

Combine like terms: 42x + 42x = 84x
(49 + 84x + 36x2) = 49

Add '-49' to each side of the equation.
49 + 84x + -49 + 36x2 = 49 + -49

Reorder the terms:
49 + -49 + 84x + 36x2 = 49 + -49

Combine like terms: 49 + -49 = 0
0 + 84x + 36x2 = 49 + -49
84x + 36x2 = 49 + -49

Combine like terms: 49 + -49 = 0
84x + 36x2 = 0

Solving
84x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(7 + 3x) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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
Solution
x = {0, -2.333333333}

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