(x-3)(x-3)=(x^2)-81

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Solution for (x-3)(x-3)=(x^2)-81 equation:


Simplifying
(x + -3)(x + -3) = (x2) + -81

Reorder the terms:
(-3 + x)(x + -3) = (x2) + -81

Reorder the terms:
(-3 + x)(-3 + x) = (x2) + -81

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = (x2) + -81
((-3 * -3 + x * -3) + x(-3 + x)) = (x2) + -81
((9 + -3x) + x(-3 + x)) = (x2) + -81
(9 + -3x + (-3 * x + x * x)) = (x2) + -81
(9 + -3x + (-3x + x2)) = (x2) + -81

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = (x2) + -81
9 + -6x + x2 = x2 + -81

Reorder the terms:
9 + -6x + x2 = -81 + x2

Add '-1x2' to each side of the equation.
9 + -6x + x2 + -1x2 = -81 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x + 0 = -81 + x2 + -1x2
9 + -6x = -81 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x = -81 + 0
9 + -6x = -81

Solving
9 + -6x = -81

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 = -81 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -81 + -9
-6x = -81 + -9

Combine like terms: -81 + -9 = -90
-6x = -90

Divide each side by '-6'.
x = 15

Simplifying
x = 15

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