(7x+8)(2x+5)=0

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Solution for (7x+8)(2x+5)=0 equation: 


Simplifying
(7x + 8)(2x + 5) = 0

Reorder the terms:
(8 + 7x)(2x + 5) = 0

Reorder the terms:
(8 + 7x)(5 + 2x) = 0

Multiply (8 + 7x) * (5 + 2x)
(8(5 + 2x) + 7x * (5 + 2x)) = 0
((5 * 8 + 2x * 8) + 7x * (5 + 2x)) = 0
((40 + 16x) + 7x * (5 + 2x)) = 0
(40 + 16x + (5 * 7x + 2x * 7x)) = 0
(40 + 16x + (35x + 14x2)) = 0

Combine like terms: 16x + 35x = 51x
(40 + 51x + 14x2) = 0

Solving
40 + 51x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 2x)(8 + 7x) = 0


Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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 = {-2.5, -1.142857143}

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