(x+2)(7x+8)=0

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Solution for (x+2)(7x+8)=0 equation: 


Simplifying
(x + 2)(7x + 8) = 0

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

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

Multiply (2 + x) * (8 + 7x)
(2(8 + 7x) + x(8 + 7x)) = 0
((8 * 2 + 7x * 2) + x(8 + 7x)) = 0
((16 + 14x) + x(8 + 7x)) = 0
(16 + 14x + (8 * x + 7x * x)) = 0
(16 + 14x + (8x + 7x2)) = 0

Combine like terms: 14x + 8x = 22x
(16 + 22x + 7x2) = 0

Solving
16 + 22x + 7x2 = 0

Solving for variable 'x'.

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


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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2

Subproblem 2
Set the factor '(8 + 7x)' equal to zero and attempt to solve:

Simplifying
8 + 7x = 0

Solving
8 + 7x = 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 + 7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 0 + -8
7x = 0 + -8

Combine like terms: 0 + -8 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143
Solution
x = {-2, -1.142857143}

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