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

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


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

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

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

Multiply (2 + 7x) * (8 + x)
(2(8 + x) + 7x * (8 + x)) = 0
((8 * 2 + x * 2) + 7x * (8 + x)) = 0
((16 + 2x) + 7x * (8 + x)) = 0
(16 + 2x + (8 * 7x + x * 7x)) = 0
(16 + 2x + (56x + 7x2)) = 0

Combine like terms: 2x + 56x = 58x
(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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