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

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


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

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

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

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

Combine like terms: 7x + 16x = 23x
(56 + 23x + 2x2) = 0

Solving
56 + 23x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + x)(7 + 2x) = 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 '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {-8, -3.5}

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