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

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


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

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

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

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

Combine like terms: 2x + 5x = 7x
(2 + 7x + 5x2) = 2

Add '-2' to each side of the equation.
2 + 7x + -2 + 5x2 = 2 + -2

Reorder the terms:
2 + -2 + 7x + 5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + 7x + 5x2 = 2 + -2
7x + 5x2 = 2 + -2

Combine like terms: 2 + -2 = 0
7x + 5x2 = 0

Solving
7x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 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 '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {0, -1.4}

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