(x-3)*(x-3)=(x+1)(x-1)-20

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Solution for (x-3)*(x-3)=(x+1)(x-1)-20 equation: 


Simplifying
(x + -3)(x + -3) = (x + 1)(x + -1) + -20

Reorder the terms:
(-3 + x)(x + -3) = (x + 1)(x + -1) + -20

Reorder the terms:
(-3 + x)(-3 + x) = (x + 1)(x + -1) + -20

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = (x + 1)(x + -1) + -20
((-3 * -3 + x * -3) + x(-3 + x)) = (x + 1)(x + -1) + -20
((9 + -3x) + x(-3 + x)) = (x + 1)(x + -1) + -20
(9 + -3x + (-3 * x + x * x)) = (x + 1)(x + -1) + -20
(9 + -3x + (-3x + x2)) = (x + 1)(x + -1) + -20

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = (x + 1)(x + -1) + -20

Reorder the terms:
9 + -6x + x2 = (1 + x)(x + -1) + -20

Reorder the terms:
9 + -6x + x2 = (1 + x)(-1 + x) + -20

Multiply (1 + x) * (-1 + x)
9 + -6x + x2 = (1(-1 + x) + x(-1 + x)) + -20
9 + -6x + x2 = ((-1 * 1 + x * 1) + x(-1 + x)) + -20
9 + -6x + x2 = ((-1 + 1x) + x(-1 + x)) + -20
9 + -6x + x2 = (-1 + 1x + (-1 * x + x * x)) + -20
9 + -6x + x2 = (-1 + 1x + (-1x + x2)) + -20

Combine like terms: 1x + -1x = 0
9 + -6x + x2 = (-1 + 0 + x2) + -20
9 + -6x + x2 = (-1 + x2) + -20

Reorder the terms:
9 + -6x + x2 = -1 + -20 + x2

Combine like terms: -1 + -20 = -21
9 + -6x + x2 = -21 + x2

Add '-1x2' to each side of the equation.
9 + -6x + x2 + -1x2 = -21 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x + 0 = -21 + x2 + -1x2
9 + -6x = -21 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x = -21 + 0
9 + -6x = -21

Solving
9 + -6x = -21

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -6x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -21 + -9
-6x = -21 + -9

Combine like terms: -21 + -9 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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