3x(x+6)=3(x^2-6)

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Solution for 3x(x+6)=3(x^2-6) equation:


Simplifying
3x(x + 6) = 3(x2 + -6)

Reorder the terms:
3x(6 + x) = 3(x2 + -6)
(6 * 3x + x * 3x) = 3(x2 + -6)
(18x + 3x2) = 3(x2 + -6)

Reorder the terms:
18x + 3x2 = 3(-6 + x2)
18x + 3x2 = (-6 * 3 + x2 * 3)
18x + 3x2 = (-18 + 3x2)

Add '-3x2' to each side of the equation.
18x + 3x2 + -3x2 = -18 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
18x + 0 = -18 + 3x2 + -3x2
18x = -18 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
18x = -18 + 0
18x = -18

Solving
18x = -18

Solving for variable 'x'.

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

Divide each side by '18'.
x = -1

Simplifying
x = -1

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