(7x+7)(7x+7)=9

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Solution for (7x+7)(7x+7)=9 equation: 


Simplifying
(7x + 7)(7x + 7) = 9

Reorder the terms:
(7 + 7x)(7x + 7) = 9

Reorder the terms:
(7 + 7x)(7 + 7x) = 9

Multiply (7 + 7x) * (7 + 7x)
(7(7 + 7x) + 7x * (7 + 7x)) = 9
((7 * 7 + 7x * 7) + 7x * (7 + 7x)) = 9
((49 + 49x) + 7x * (7 + 7x)) = 9
(49 + 49x + (7 * 7x + 7x * 7x)) = 9
(49 + 49x + (49x + 49x2)) = 9

Combine like terms: 49x + 49x = 98x
(49 + 98x + 49x2) = 9

Solving
49 + 98x + 49x2 = 9

Solving for variable 'x'.

Reorder the terms:
49 + -9 + 98x + 49x2 = 9 + -9

Combine like terms: 49 + -9 = 40
40 + 98x + 49x2 = 9 + -9

Combine like terms: 9 + -9 = 0
40 + 98x + 49x2 = 0

Factor a trinomial.
(10 + 7x)(4 + 7x) = 0


Subproblem 1
Set the factor '(10 + 7x)' equal to zero and attempt to solve:

Simplifying
10 + 7x = 0

Solving
10 + 7x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 0 + -10
7x = 0 + -10

Combine like terms: 0 + -10 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {-1.428571429, -0.5714285714}

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