(x-1)(x-81)=x^2-30x+81

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Solution for (x-1)(x-81)=x^2-30x+81 equation: 


Simplifying
(x + -1)(x + -81) = x2 + -30x + 81

Reorder the terms:
(-1 + x)(x + -81) = x2 + -30x + 81

Reorder the terms:
(-1 + x)(-81 + x) = x2 + -30x + 81

Multiply (-1 + x) * (-81 + x)
(-1(-81 + x) + x(-81 + x)) = x2 + -30x + 81
((-81 * -1 + x * -1) + x(-81 + x)) = x2 + -30x + 81
((81 + -1x) + x(-81 + x)) = x2 + -30x + 81
(81 + -1x + (-81 * x + x * x)) = x2 + -30x + 81
(81 + -1x + (-81x + x2)) = x2 + -30x + 81

Combine like terms: -1x + -81x = -82x
(81 + -82x + x2) = x2 + -30x + 81

Reorder the terms:
81 + -82x + x2 = 81 + -30x + x2

Add '-81' to each side of the equation.
81 + -82x + -81 + x2 = 81 + -30x + -81 + x2

Reorder the terms:
81 + -81 + -82x + x2 = 81 + -30x + -81 + x2

Combine like terms: 81 + -81 = 0
0 + -82x + x2 = 81 + -30x + -81 + x2
-82x + x2 = 81 + -30x + -81 + x2

Reorder the terms:
-82x + x2 = 81 + -81 + -30x + x2

Combine like terms: 81 + -81 = 0
-82x + x2 = 0 + -30x + x2
-82x + x2 = -30x + x2

Add '-1x2' to each side of the equation.
-82x + x2 + -1x2 = -30x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-82x + 0 = -30x + x2 + -1x2
-82x = -30x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-82x = -30x + 0
-82x = -30x

Solving
-82x = -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-82x + 30x = -30x + 30x

Combine like terms: -82x + 30x = -52x
-52x = -30x + 30x

Combine like terms: -30x + 30x = 0
-52x = 0

Divide each side by '-52'.
x = 0

Simplifying
x = 0

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