(7x+8)(4x+15)=0

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Solution for (7x+8)(4x+15)=0 equation: 


Simplifying
(7x + 8)(4x + 15) = 0

Reorder the terms:
(8 + 7x)(4x + 15) = 0

Reorder the terms:
(8 + 7x)(15 + 4x) = 0

Multiply (8 + 7x) * (15 + 4x)
(8(15 + 4x) + 7x * (15 + 4x)) = 0
((15 * 8 + 4x * 8) + 7x * (15 + 4x)) = 0
((120 + 32x) + 7x * (15 + 4x)) = 0
(120 + 32x + (15 * 7x + 4x * 7x)) = 0
(120 + 32x + (105x + 28x2)) = 0

Combine like terms: 32x + 105x = 137x
(120 + 137x + 28x2) = 0

Solving
120 + 137x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + 4x)(8 + 7x) = 0


Subproblem 1
Set the factor '(15 + 4x)' equal to zero and attempt to solve:

Simplifying
15 + 4x = 0

Solving
15 + 4x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 0 + -15
4x = 0 + -15

Combine like terms: 0 + -15 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75

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 = {-3.75, -1.142857143}

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