3x(x)+81=(x+3)(3x+3)

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Solution for 3x(x)+81=(x+3)(3x+3) equation:


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

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

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

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

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

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

Combine like terms: 9x + 3x = 12x
81 + 3x2 = (9 + 12x + 3x2)

Add '-3x2' to each side of the equation.
81 + 3x2 + -3x2 = 9 + 12x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
81 + 0 = 9 + 12x + 3x2 + -3x2
81 = 9 + 12x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
81 = 9 + 12x + 0
81 = 9 + 12x

Solving
81 = 9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
81 + -12x = 9 + 12x + -12x

Combine like terms: 12x + -12x = 0
81 + -12x = 9 + 0
81 + -12x = 9

Add '-81' to each side of the equation.
81 + -81 + -12x = 9 + -81

Combine like terms: 81 + -81 = 0
0 + -12x = 9 + -81
-12x = 9 + -81

Combine like terms: 9 + -81 = -72
-12x = -72

Divide each side by '-12'.
x = 6

Simplifying
x = 6

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