14x(11x-2)(4x+13)=0

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Solution for 14x(11x-2)(4x+13)=0 equation: 


Simplifying
14x(11x + -2)(4x + 13) = 0

Reorder the terms:
14x(-2 + 11x)(4x + 13) = 0

Reorder the terms:
14x(-2 + 11x)(13 + 4x) = 0

Multiply (-2 + 11x) * (13 + 4x)
14x(-2(13 + 4x) + 11x * (13 + 4x)) = 0
14x((13 * -2 + 4x * -2) + 11x * (13 + 4x)) = 0
14x((-26 + -8x) + 11x * (13 + 4x)) = 0
14x(-26 + -8x + (13 * 11x + 4x * 11x)) = 0
14x(-26 + -8x + (143x + 44x2)) = 0

Combine like terms: -8x + 143x = 135x
14x(-26 + 135x + 44x2) = 0
(-26 * 14x + 135x * 14x + 44x2 * 14x) = 0
(-364x + 1890x2 + 616x3) = 0

Solving
-364x + 1890x2 + 616x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14x'.
14x(-26 + 135x + 44x2) = 0

Factor a trinomial.
14x((-13 + -4x)(2 + -11x)) = 0

Ignore the factor 14.

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 + -4x)' equal to zero and attempt to solve:

Simplifying
-13 + -4x = 0

Solving
-13 + -4x = 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 + -4x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 0 + 13
-4x = 0 + 13

Combine like terms: 0 + 13 = 13
-4x = 13

Divide each side by '-4'.
x = -3.25

Simplifying
x = -3.25

Subproblem 3
Set the factor '(2 + -11x)' equal to zero and attempt to solve:

Simplifying
2 + -11x = 0

Solving
2 + -11x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = 0 + -2
-11x = 0 + -2

Combine like terms: 0 + -2 = -2
-11x = -2

Divide each side by '-11'.
x = 0.1818181818

Simplifying
x = 0.1818181818
Solution
x = {0, -3.25, 0.1818181818}

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