(5x+8)(4x+2)=

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Solution for (5x+8)(4x+2)= equation: 


Simplifying
(5x + 8)(4x + 2) = 0

Reorder the terms:
(8 + 5x)(4x + 2) = 0

Reorder the terms:
(8 + 5x)(2 + 4x) = 0

Multiply (8 + 5x) * (2 + 4x)
(8(2 + 4x) + 5x * (2 + 4x)) = 0
((2 * 8 + 4x * 8) + 5x * (2 + 4x)) = 0
((16 + 32x) + 5x * (2 + 4x)) = 0
(16 + 32x + (2 * 5x + 4x * 5x)) = 0
(16 + 32x + (10x + 20x2)) = 0

Combine like terms: 32x + 10x = 42x
(16 + 42x + 20x2) = 0

Solving
16 + 42x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 21x + 10x2) = 0

Factor a trinomial.
2((8 + 5x)(1 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 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 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1.6, -0.5}

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