3x(1-x)=3(x-3)

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Solution for 3x(1-x)=3(x-3) equation:


Simplifying
3x(1 + -1x) = 3(x + -3)
(1 * 3x + -1x * 3x) = 3(x + -3)
(3x + -3x2) = 3(x + -3)

Reorder the terms:
3x + -3x2 = 3(-3 + x)
3x + -3x2 = (-3 * 3 + x * 3)
3x + -3x2 = (-9 + 3x)

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

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

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

Solving
-3x2 = -9

Solving for variable 'x'.

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

Divide each side by '-3'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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