17x(x-11)(3x+13)=0

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Solution for 17x(x-11)(3x+13)=0 equation: 


Simplifying
17x(x + -11)(3x + 13) = 0

Reorder the terms:
17x(-11 + x)(3x + 13) = 0

Reorder the terms:
17x(-11 + x)(13 + 3x) = 0

Multiply (-11 + x) * (13 + 3x)
17x(-11(13 + 3x) + x(13 + 3x)) = 0
17x((13 * -11 + 3x * -11) + x(13 + 3x)) = 0
17x((-143 + -33x) + x(13 + 3x)) = 0
17x(-143 + -33x + (13 * x + 3x * x)) = 0
17x(-143 + -33x + (13x + 3x2)) = 0

Combine like terms: -33x + 13x = -20x
17x(-143 + -20x + 3x2) = 0
(-143 * 17x + -20x * 17x + 3x2 * 17x) = 0
(-2431x + -340x2 + 51x3) = 0

Solving
-2431x + -340x2 + 51x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '17x'.
17x(-143 + -20x + 3x2) = 0

Factor a trinomial.
17x((-13 + -3x)(11 + -1x)) = 0

Ignore the factor 17.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-13 + -3x)' equal to zero and attempt to solve:

Simplifying
-13 + -3x = 0

Solving
-13 + -3x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 0 + 13
-3x = 0 + 13

Combine like terms: 0 + 13 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

Subproblem 3
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, -4.333333333, 11}

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