(x+5)(2x+3)(17x-34)=0

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Solution for (x+5)(2x+3)(17x-34)=0 equation: 


Simplifying
(x + 5)(2x + 3)(17x + -34) = 0

Reorder the terms:
(5 + x)(2x + 3)(17x + -34) = 0

Reorder the terms:
(5 + x)(3 + 2x)(17x + -34) = 0

Reorder the terms:
(5 + x)(3 + 2x)(-34 + 17x) = 0

Multiply (5 + x) * (3 + 2x)
(5(3 + 2x) + x(3 + 2x))(-34 + 17x) = 0
((3 * 5 + 2x * 5) + x(3 + 2x))(-34 + 17x) = 0
((15 + 10x) + x(3 + 2x))(-34 + 17x) = 0
(15 + 10x + (3 * x + 2x * x))(-34 + 17x) = 0
(15 + 10x + (3x + 2x2))(-34 + 17x) = 0

Combine like terms: 10x + 3x = 13x
(15 + 13x + 2x2)(-34 + 17x) = 0

Multiply (15 + 13x + 2x2) * (-34 + 17x)
(15(-34 + 17x) + 13x * (-34 + 17x) + 2x2 * (-34 + 17x)) = 0
((-34 * 15 + 17x * 15) + 13x * (-34 + 17x) + 2x2 * (-34 + 17x)) = 0
((-510 + 255x) + 13x * (-34 + 17x) + 2x2 * (-34 + 17x)) = 0
(-510 + 255x + (-34 * 13x + 17x * 13x) + 2x2 * (-34 + 17x)) = 0
(-510 + 255x + (-442x + 221x2) + 2x2 * (-34 + 17x)) = 0
(-510 + 255x + -442x + 221x2 + (-34 * 2x2 + 17x * 2x2)) = 0
(-510 + 255x + -442x + 221x2 + (-68x2 + 34x3)) = 0

Combine like terms: 255x + -442x = -187x
(-510 + -187x + 221x2 + -68x2 + 34x3) = 0

Combine like terms: 221x2 + -68x2 = 153x2
(-510 + -187x + 153x2 + 34x3) = 0

Solving
-510 + -187x + 153x2 + 34x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '17'.
17(-30 + -11x + 9x2 + 2x3) = 0

Ignore the factor 17.

Subproblem 1
Set the factor '(-30 + -11x + 9x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-30 + -11x + 9x2 + 2x3 = 0

Solving
-30 + -11x + 9x2 + 2x3 = 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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