16x(6x-19)(5x-12)=0

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Solution for 16x(6x-19)(5x-12)=0 equation: 


Simplifying
16x(6x + -19)(5x + -12) = 0

Reorder the terms:
16x(-19 + 6x)(5x + -12) = 0

Reorder the terms:
16x(-19 + 6x)(-12 + 5x) = 0

Multiply (-19 + 6x) * (-12 + 5x)
16x(-19(-12 + 5x) + 6x * (-12 + 5x)) = 0
16x((-12 * -19 + 5x * -19) + 6x * (-12 + 5x)) = 0
16x((228 + -95x) + 6x * (-12 + 5x)) = 0
16x(228 + -95x + (-12 * 6x + 5x * 6x)) = 0
16x(228 + -95x + (-72x + 30x2)) = 0

Combine like terms: -95x + -72x = -167x
16x(228 + -167x + 30x2) = 0
(228 * 16x + -167x * 16x + 30x2 * 16x) = 0
(3648x + -2672x2 + 480x3) = 0

Solving
3648x + -2672x2 + 480x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x'.
16x(228 + -167x + 30x2) = 0

Factor a trinomial.
16x((12 + -5x)(19 + -6x)) = 0

Ignore the factor 16.

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 '(12 + -5x)' equal to zero and attempt to solve:

Simplifying
12 + -5x = 0

Solving
12 + -5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 0 + -12
-5x = 0 + -12

Combine like terms: 0 + -12 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

Subproblem 3
Set the factor '(19 + -6x)' equal to zero and attempt to solve:

Simplifying
19 + -6x = 0

Solving
19 + -6x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -6x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 0 + -19
-6x = 0 + -19

Combine like terms: 0 + -19 = -19
-6x = -19

Divide each side by '-6'.
x = 3.166666667

Simplifying
x = 3.166666667
Solution
x = {0, 2.4, 3.166666667}

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