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

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


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

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

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

Multiply (3 + 9x) * (-11 + x)
(3(-11 + x) + 9x * (-11 + x)) = 0
((-11 * 3 + x * 3) + 9x * (-11 + x)) = 0
((-33 + 3x) + 9x * (-11 + x)) = 0
(-33 + 3x + (-11 * 9x + x * 9x)) = 0
(-33 + 3x + (-99x + 9x2)) = 0

Combine like terms: 3x + -99x = -96x
(-33 + -96x + 9x2) = 0

Solving
-33 + -96x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-11 + -32x + 3x2) = 0

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

Ignore the factor 3.

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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-0.3333333333, 11}

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