(-x+3)(3x+9)=0

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Solution for (-x+3)(3x+9)=0 equation:


Simplifying
(-1x + 3)(3x + 9) = 0

Reorder the terms:
(3 + -1x)(3x + 9) = 0

Reorder the terms:
(3 + -1x)(9 + 3x) = 0

Multiply (3 + -1x) * (9 + 3x)
(3(9 + 3x) + -1x * (9 + 3x)) = 0
((9 * 3 + 3x * 3) + -1x * (9 + 3x)) = 0
((27 + 9x) + -1x * (9 + 3x)) = 0
(27 + 9x + (9 * -1x + 3x * -1x)) = 0
(27 + 9x + (-9x + -3x2)) = 0

Combine like terms: 9x + -9x = 0
(27 + 0 + -3x2) = 0
(27 + -3x2) = 0

Solving
27 + -3x2 = 0

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -3x2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -3x2 = 0 + -27
-3x2 = 0 + -27

Combine like terms: 0 + -27 = -27
-3x2 = -27

Divide each side by '-3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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