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

Solution for (x+2)(1-5x)=0 equation:

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

Reorder the terms:
(2 + x)(1 + -5x) = 0

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

Combine like terms: -10x + 1x = -9x
(2 + -9x + -5x2) = 0

Solving
2 + -9x + -5x2 = 0

Solving for variable 'x'.

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

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {0.2, -2}