7(x-4)*2-3(x+5)=4(x+1)(x-1)-2

Solution for 7(x-4)*2-3(x+5)=4(x+1)(x-1)-2 equation:

Simplifying
7(x + -4) * 2 + -3(x + 5) = 4(x + 1)(x + -1) + -2

Reorder the terms:
7(-4 + x) * 2 + -3(x + 5) = 4(x + 1)(x + -1) + -2

Reorder the terms for easier multiplication:
7 * 2(-4 + x) + -3(x + 5) = 4(x + 1)(x + -1) + -2

Multiply 7 * 2
14(-4 + x) + -3(x + 5) = 4(x + 1)(x + -1) + -2
(-4 * 14 + x * 14) + -3(x + 5) = 4(x + 1)(x + -1) + -2
(-56 + 14x) + -3(x + 5) = 4(x + 1)(x + -1) + -2

Reorder the terms:
-56 + 14x + -3(5 + x) = 4(x + 1)(x + -1) + -2
-56 + 14x + (5 * -3 + x * -3) = 4(x + 1)(x + -1) + -2
-56 + 14x + (-15 + -3x) = 4(x + 1)(x + -1) + -2

Reorder the terms:
-56 + -15 + 14x + -3x = 4(x + 1)(x + -1) + -2

Combine like terms: -56 + -15 = -71
-71 + 14x + -3x = 4(x + 1)(x + -1) + -2

Combine like terms: 14x + -3x = 11x
-71 + 11x = 4(x + 1)(x + -1) + -2

Reorder the terms:
-71 + 11x = 4(1 + x)(x + -1) + -2

Reorder the terms:
-71 + 11x = 4(1 + x)(-1 + x) + -2

Multiply (1 + x) * (-1 + x)
-71 + 11x = 4(1(-1 + x) + x(-1 + x)) + -2
-71 + 11x = 4((-1 * 1 + x * 1) + x(-1 + x)) + -2
-71 + 11x = 4((-1 + 1x) + x(-1 + x)) + -2
-71 + 11x = 4(-1 + 1x + (-1 * x + x * x)) + -2
-71 + 11x = 4(-1 + 1x + (-1x + x2)) + -2

Combine like terms: 1x + -1x = 0
-71 + 11x = 4(-1 + 0 + x2) + -2
-71 + 11x = 4(-1 + x2) + -2
-71 + 11x = (-1 * 4 + x2 * 4) + -2
-71 + 11x = (-4 + 4x2) + -2

Reorder the terms:
-71 + 11x = -4 + -2 + 4x2

Combine like terms: -4 + -2 = -6
-71 + 11x = -6 + 4x2

Solving
-71 + 11x = -6 + 4x2

Solving for variable 'x'.

Reorder the terms:
-71 + 6 + 11x + -4x2 = -6 + 4x2 + 6 + -4x2

Combine like terms: -71 + 6 = -65
-65 + 11x + -4x2 = -6 + 4x2 + 6 + -4x2

Reorder the terms:
-65 + 11x + -4x2 = -6 + 6 + 4x2 + -4x2

Combine like terms: -6 + 6 = 0
-65 + 11x + -4x2 = 0 + 4x2 + -4x2
-65 + 11x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-65 + 11x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
16.25 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-16.25' to each side of the equation.
16.25 + -2.75x + -16.25 + x2 = 0 + -16.25

Reorder the terms:
16.25 + -16.25 + -2.75x + x2 = 0 + -16.25

Combine like terms: 16.25 + -16.25 = 0.00
0.00 + -2.75x + x2 = 0 + -16.25
-2.75x + x2 = 0 + -16.25

Combine like terms: 0 + -16.25 = -16.25
-2.75x + x2 = -16.25

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -16.25 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -16.25 + 1.890625

Combine like terms: -16.25 + 1.890625 = -14.359375
1.890625 + -2.75x + x2 = -14.359375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -14.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.