(7x+9)(x+7)-47=0

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Solution for (7x+9)(x+7)-47=0 equation: 


Simplifying
(7x + 9)(x + 7) + -47 = 0

Reorder the terms:
(9 + 7x)(x + 7) + -47 = 0

Reorder the terms:
(9 + 7x)(7 + x) + -47 = 0

Multiply (9 + 7x) * (7 + x)
(9(7 + x) + 7x * (7 + x)) + -47 = 0
((7 * 9 + x * 9) + 7x * (7 + x)) + -47 = 0
((63 + 9x) + 7x * (7 + x)) + -47 = 0
(63 + 9x + (7 * 7x + x * 7x)) + -47 = 0
(63 + 9x + (49x + 7x2)) + -47 = 0

Combine like terms: 9x + 49x = 58x
(63 + 58x + 7x2) + -47 = 0

Reorder the terms:
63 + -47 + 58x + 7x2 = 0

Combine like terms: 63 + -47 = 16
16 + 58x + 7x2 = 0

Solving
16 + 58x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + x)(2 + 7x) = 0


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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

Simplifying
2 + 7x = 0

Solving
2 + 7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {-8, -0.2857142857}

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