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

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


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

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

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

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

Combine like terms: 1x + 10x = 11x
(2 + 11x + 5x2) = 2

Add '-2' to each side of the equation.
2 + 11x + -2 + 5x2 = 2 + -2

Reorder the terms:
2 + -2 + 11x + 5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + 11x + 5x2 = 2 + -2
11x + 5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
11x + 5x2 = 0

Solving
11x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2
Solution
x = {0, -2.2}

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