(2x-6)(3x+1)(x^2-5)=0

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Solution for (2x-6)(3x+1)(x^2-5)=0 equation:


Simplifying
(2x + -6)(3x + 1)(x2 + -5) = 0

Reorder the terms:
(-6 + 2x)(3x + 1)(x2 + -5) = 0

Reorder the terms:
(-6 + 2x)(1 + 3x)(x2 + -5) = 0

Reorder the terms:
(-6 + 2x)(1 + 3x)(-5 + x2) = 0

Multiply (-6 + 2x) * (1 + 3x)
(-6(1 + 3x) + 2x * (1 + 3x))(-5 + x2) = 0
((1 * -6 + 3x * -6) + 2x * (1 + 3x))(-5 + x2) = 0
((-6 + -18x) + 2x * (1 + 3x))(-5 + x2) = 0
(-6 + -18x + (1 * 2x + 3x * 2x))(-5 + x2) = 0
(-6 + -18x + (2x + 6x2))(-5 + x2) = 0

Combine like terms: -18x + 2x = -16x
(-6 + -16x + 6x2)(-5 + x2) = 0

Multiply (-6 + -16x + 6x2) * (-5 + x2)
(-6(-5 + x2) + -16x * (-5 + x2) + 6x2 * (-5 + x2)) = 0
((-5 * -6 + x2 * -6) + -16x * (-5 + x2) + 6x2 * (-5 + x2)) = 0
((30 + -6x2) + -16x * (-5 + x2) + 6x2 * (-5 + x2)) = 0
(30 + -6x2 + (-5 * -16x + x2 * -16x) + 6x2 * (-5 + x2)) = 0
(30 + -6x2 + (80x + -16x3) + 6x2 * (-5 + x2)) = 0
(30 + -6x2 + 80x + -16x3 + (-5 * 6x2 + x2 * 6x2)) = 0
(30 + -6x2 + 80x + -16x3 + (-30x2 + 6x4)) = 0

Reorder the terms:
(30 + 80x + -6x2 + -30x2 + -16x3 + 6x4) = 0

Combine like terms: -6x2 + -30x2 = -36x2
(30 + 80x + -36x2 + -16x3 + 6x4) = 0

Solving
30 + 80x + -36x2 + -16x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 40x + -18x2 + -8x3 + 3x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + 40x + -18x2 + -8x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
15 + 40x + -18x2 + -8x3 + 3x4 = 0

Solving
15 + 40x + -18x2 + -8x3 + 3x4 = 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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