(x-4)(x+4)-(x-1)(x-1)=(x+1)(x+1)-x*x

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


Simplifying
(x + -4)(x + 4) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x

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

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

Multiply (-4 + x) * (4 + x)
(-4(4 + x) + x(4 + x)) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x
((4 * -4 + x * -4) + x(4 + x)) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x
((-16 + -4x) + x(4 + x)) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x
(-16 + -4x + (4 * x + x * x)) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x
(-16 + -4x + (4x + x2)) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x

Combine like terms: -4x + 4x = 0
(-16 + 0 + x2) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x
(-16 + x2) + -1(x + -1)(x + -1) = (x + 1)(x + 1) + -1x * x

Reorder the terms:
-16 + x2 + -1(-1 + x)(x + -1) = (x + 1)(x + 1) + -1x * x

Reorder the terms:
-16 + x2 + -1(-1 + x)(-1 + x) = (x + 1)(x + 1) + -1x * x

Multiply (-1 + x) * (-1 + x)
-16 + x2 + -1(-1(-1 + x) + x(-1 + x)) = (x + 1)(x + 1) + -1x * x
-16 + x2 + -1((-1 * -1 + x * -1) + x(-1 + x)) = (x + 1)(x + 1) + -1x * x
-16 + x2 + -1((1 + -1x) + x(-1 + x)) = (x + 1)(x + 1) + -1x * x
-16 + x2 + -1(1 + -1x + (-1 * x + x * x)) = (x + 1)(x + 1) + -1x * x
-16 + x2 + -1(1 + -1x + (-1x + x2)) = (x + 1)(x + 1) + -1x * x

Combine like terms: -1x + -1x = -2x
-16 + x2 + -1(1 + -2x + x2) = (x + 1)(x + 1) + -1x * x
-16 + x2 + (1 * -1 + -2x * -1 + x2 * -1) = (x + 1)(x + 1) + -1x * x
-16 + x2 + (-1 + 2x + -1x2) = (x + 1)(x + 1) + -1x * x

Reorder the terms:
-16 + -1 + 2x + x2 + -1x2 = (x + 1)(x + 1) + -1x * x

Combine like terms: -16 + -1 = -17
-17 + 2x + x2 + -1x2 = (x + 1)(x + 1) + -1x * x

Combine like terms: x2 + -1x2 = 0
-17 + 2x + 0 = (x + 1)(x + 1) + -1x * x
-17 + 2x = (x + 1)(x + 1) + -1x * x

Reorder the terms:
-17 + 2x = (1 + x)(x + 1) + -1x * x

Reorder the terms:
-17 + 2x = (1 + x)(1 + x) + -1x * x

Multiply (1 + x) * (1 + x)
-17 + 2x = (1(1 + x) + x(1 + x)) + -1x * x
-17 + 2x = ((1 * 1 + x * 1) + x(1 + x)) + -1x * x
-17 + 2x = ((1 + 1x) + x(1 + x)) + -1x * x
-17 + 2x = (1 + 1x + (1 * x + x * x)) + -1x * x
-17 + 2x = (1 + 1x + (1x + x2)) + -1x * x

Combine like terms: 1x + 1x = 2x
-17 + 2x = (1 + 2x + x2) + -1x * x

Multiply x * x
-17 + 2x = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-17 + 2x = 1 + 2x + 0
-17 + 2x = 1 + 2x

Add '-2x' to each side of the equation.
-17 + 2x + -2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + 0 = 1 + 2x + -2x
-17 = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 = 1 + 0
-17 = 1

Solving
-17 = 1

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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