(7x+1)(9x+8)=0

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Solution for (7x+1)(9x+8)=0 equation: 


Simplifying
(7x + 1)(9x + 8) = 0

Reorder the terms:
(1 + 7x)(9x + 8) = 0

Reorder the terms:
(1 + 7x)(8 + 9x) = 0

Multiply (1 + 7x) * (8 + 9x)
(1(8 + 9x) + 7x * (8 + 9x)) = 0
((8 * 1 + 9x * 1) + 7x * (8 + 9x)) = 0
((8 + 9x) + 7x * (8 + 9x)) = 0
(8 + 9x + (8 * 7x + 9x * 7x)) = 0
(8 + 9x + (56x + 63x2)) = 0

Combine like terms: 9x + 56x = 65x
(8 + 65x + 63x2) = 0

Solving
8 + 65x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 9x)(1 + 7x) = 0


Subproblem 1
Set the factor '(8 + 9x)' equal to zero and attempt to solve:

Simplifying
8 + 9x = 0

Solving
8 + 9x = 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 + 9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 0 + -8
9x = 0 + -8

Combine like terms: 0 + -8 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve:

Simplifying
1 + 7x = 0

Solving
1 + 7x = 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 + 7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 0 + -1
7x = 0 + -1

Combine like terms: 0 + -1 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Solution
x = {-0.8888888889, -0.1428571429}

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