(2x-6)(8x^2-13x+5)=0

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Solution for (2x-6)(8x^2-13x+5)=0 equation:


Simplifying
(2x + -6)(8x2 + -13x + 5) = 0

Reorder the terms:
(-6 + 2x)(8x2 + -13x + 5) = 0

Reorder the terms:
(-6 + 2x)(5 + -13x + 8x2) = 0

Multiply (-6 + 2x) * (5 + -13x + 8x2)
(-6(5 + -13x + 8x2) + 2x * (5 + -13x + 8x2)) = 0
((5 * -6 + -13x * -6 + 8x2 * -6) + 2x * (5 + -13x + 8x2)) = 0
((-30 + 78x + -48x2) + 2x * (5 + -13x + 8x2)) = 0
(-30 + 78x + -48x2 + (5 * 2x + -13x * 2x + 8x2 * 2x)) = 0
(-30 + 78x + -48x2 + (10x + -26x2 + 16x3)) = 0

Reorder the terms:
(-30 + 78x + 10x + -48x2 + -26x2 + 16x3) = 0

Combine like terms: 78x + 10x = 88x
(-30 + 88x + -48x2 + -26x2 + 16x3) = 0

Combine like terms: -48x2 + -26x2 = -74x2
(-30 + 88x + -74x2 + 16x3) = 0

Solving
-30 + 88x + -74x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 44x + -37x2 + 8x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-15 + 44x + -37x2 + 8x3)' equal to zero and attempt to solve: Simplifying -15 + 44x + -37x2 + 8x3 = 0 Solving -15 + 44x + -37x2 + 8x3 = 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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