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

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


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

Multiply (4 + 8x) * (2 + 5x)
(4(2 + 5x) + 8x * (2 + 5x)) = 0
((2 * 4 + 5x * 4) + 8x * (2 + 5x)) = 0
((8 + 20x) + 8x * (2 + 5x)) = 0
(8 + 20x + (2 * 8x + 5x * 8x)) = 0
(8 + 20x + (16x + 40x2)) = 0

Combine like terms: 20x + 16x = 36x
(8 + 36x + 40x2) = 0

Solving
8 + 36x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + 9x + 10x2) = 0

Factor a trinomial.
4((1 + 2x)(2 + 5x)) = 0

Ignore the factor 4.

Subproblem 1
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

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-0.5, -0.4}

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