(x+5)(x-1)=x*2-7

Solution for (x+5)(x-1)=x*2-7 equation:

Simplifying
(x + 5)(x + -1) = x * 2 + -7

Reorder the terms:
(5 + x)(x + -1) = x * 2 + -7

Reorder the terms:
(5 + x)(-1 + x) = x * 2 + -7

Multiply (5 + x) * (-1 + x)
(5(-1 + x) + x(-1 + x)) = x * 2 + -7
((-1 * 5 + x * 5) + x(-1 + x)) = x * 2 + -7
((-5 + 5x) + x(-1 + x)) = x * 2 + -7
(-5 + 5x + (-1 * x + x * x)) = x * 2 + -7
(-5 + 5x + (-1x + x2)) = x * 2 + -7

Combine like terms: 5x + -1x = 4x
(-5 + 4x + x2) = x * 2 + -7

Reorder the terms for easier multiplication:
-5 + 4x + x2 = 2x + -7

Reorder the terms:
-5 + 4x + x2 = -7 + 2x

Solving
-5 + 4x + x2 = -7 + 2x

Solving for variable 'x'.

Reorder the terms:
-5 + 7 + 4x + -2x + x2 = -7 + 2x + 7 + -2x

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

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

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

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

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

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.