(x+1)(x+5)=4x-2

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Solution for (x+1)(x+5)=4x-2 equation: 


Simplifying
(x + 1)(x + 5) = 4x + -2

Reorder the terms:
(1 + x)(x + 5) = 4x + -2

Reorder the terms:
(1 + x)(5 + x) = 4x + -2

Multiply (1 + x) * (5 + x)
(1(5 + x) + x(5 + x)) = 4x + -2
((5 * 1 + x * 1) + x(5 + x)) = 4x + -2
((5 + 1x) + x(5 + x)) = 4x + -2
(5 + 1x + (5 * x + x * x)) = 4x + -2
(5 + 1x + (5x + x2)) = 4x + -2

Combine like terms: 1x + 5x = 6x
(5 + 6x + x2) = 4x + -2

Reorder the terms:
5 + 6x + x2 = -2 + 4x

Solving
5 + 6x + x2 = -2 + 4x

Solving for variable 'x'.

Reorder the terms:
5 + 2 + 6x + -4x + x2 = -2 + 4x + 2 + -4x

Combine like terms: 5 + 2 = 7
7 + 6x + -4x + x2 = -2 + 4x + 2 + -4x

Combine like terms: 6x + -4x = 2x
7 + 2x + x2 = -2 + 4x + 2 + -4x

Reorder the terms:
7 + 2x + x2 = -2 + 2 + 4x + -4x

Combine like terms: -2 + 2 = 0
7 + 2x + x2 = 0 + 4x + -4x
7 + 2x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 2x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + 2x + x2 = 0 + -7

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

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

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -7 + 1

Reorder the terms:
1 + 2x + x2 = -7 + 1

Combine like terms: -7 + 1 = -6
1 + 2x + x2 = -6

Factor a perfect square on the left side:
(x + 1)(x + 1) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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