(.5x+-2)(2-10x)=0

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Solution for (.5x+-2)(2-10x)=0 equation: 


Simplifying
(0.5x + -2)(2 + -10x) = 0

Reorder the terms:
(-2 + 0.5x)(2 + -10x) = 0

Multiply (-2 + 0.5x) * (2 + -10x)
(-2(2 + -10x) + 0.5x * (2 + -10x)) = 0
((2 * -2 + -10x * -2) + 0.5x * (2 + -10x)) = 0
((-4 + 20x) + 0.5x * (2 + -10x)) = 0
(-4 + 20x + (2 * 0.5x + -10x * 0.5x)) = 0
(-4 + 20x + (1x + -5x2)) = 0

Combine like terms: 20x + 1x = 21x
(-4 + 21x + -5x2) = 0

Solving
-4 + 21x + -5x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

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

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

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

Simplifying
x = 4

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {4, 0.2}

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