(3x+11)(x-9)=0

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Solution for (3x+11)(x-9)=0 equation: 


Simplifying
(3x + 11)(x + -9) = 0

Reorder the terms:
(11 + 3x)(x + -9) = 0

Reorder the terms:
(11 + 3x)(-9 + x) = 0

Multiply (11 + 3x) * (-9 + x)
(11(-9 + x) + 3x * (-9 + x)) = 0
((-9 * 11 + x * 11) + 3x * (-9 + x)) = 0
((-99 + 11x) + 3x * (-9 + x)) = 0
(-99 + 11x + (-9 * 3x + x * 3x)) = 0
(-99 + 11x + (-27x + 3x2)) = 0

Combine like terms: 11x + -27x = -16x
(-99 + -16x + 3x2) = 0

Solving
-99 + -16x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -3x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-3.666666667, 9}

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