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

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


Simplifying
(8 + -1x)(2 + 5x) = 0

Multiply (8 + -1x) * (2 + 5x)
(8(2 + 5x) + -1x * (2 + 5x)) = 0
((2 * 8 + 5x * 8) + -1x * (2 + 5x)) = 0
((16 + 40x) + -1x * (2 + 5x)) = 0
(16 + 40x + (2 * -1x + 5x * -1x)) = 0
(16 + 40x + (-2x + -5x2)) = 0

Combine like terms: 40x + -2x = 38x
(16 + 38x + -5x2) = 0

Solving
16 + 38x + -5x2 = 0

Solving for variable 'x'.

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


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

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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 = {8, -0.4}

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