(19x-13)(2x-7)(-9x+15)=0

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Solution for (19x-13)(2x-7)(-9x+15)=0 equation: 


Simplifying
(19x + -13)(2x + -7)(-9x + 15) = 0

Reorder the terms:
(-13 + 19x)(2x + -7)(-9x + 15) = 0

Reorder the terms:
(-13 + 19x)(-7 + 2x)(-9x + 15) = 0

Reorder the terms:
(-13 + 19x)(-7 + 2x)(15 + -9x) = 0

Multiply (-13 + 19x) * (-7 + 2x)
(-13(-7 + 2x) + 19x * (-7 + 2x))(15 + -9x) = 0
((-7 * -13 + 2x * -13) + 19x * (-7 + 2x))(15 + -9x) = 0
((91 + -26x) + 19x * (-7 + 2x))(15 + -9x) = 0
(91 + -26x + (-7 * 19x + 2x * 19x))(15 + -9x) = 0
(91 + -26x + (-133x + 38x2))(15 + -9x) = 0

Combine like terms: -26x + -133x = -159x
(91 + -159x + 38x2)(15 + -9x) = 0

Multiply (91 + -159x + 38x2) * (15 + -9x)
(91(15 + -9x) + -159x * (15 + -9x) + 38x2 * (15 + -9x)) = 0
((15 * 91 + -9x * 91) + -159x * (15 + -9x) + 38x2 * (15 + -9x)) = 0
((1365 + -819x) + -159x * (15 + -9x) + 38x2 * (15 + -9x)) = 0
(1365 + -819x + (15 * -159x + -9x * -159x) + 38x2 * (15 + -9x)) = 0
(1365 + -819x + (-2385x + 1431x2) + 38x2 * (15 + -9x)) = 0
(1365 + -819x + -2385x + 1431x2 + (15 * 38x2 + -9x * 38x2)) = 0
(1365 + -819x + -2385x + 1431x2 + (570x2 + -342x3)) = 0

Combine like terms: -819x + -2385x = -3204x
(1365 + -3204x + 1431x2 + 570x2 + -342x3) = 0

Combine like terms: 1431x2 + 570x2 = 2001x2
(1365 + -3204x + 2001x2 + -342x3) = 0

Solving
1365 + -3204x + 2001x2 + -342x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(455 + -1068x + 667x2 + -114x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(455 + -1068x + 667x2 + -114x3)' equal to zero and attempt to solve:

Simplifying
455 + -1068x + 667x2 + -114x3 = 0

Solving
455 + -1068x + 667x2 + -114x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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