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

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


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

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

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

Multiply (8 + 6x + 8x2) * (-5 + 6x)
(8(-5 + 6x) + 6x * (-5 + 6x) + 8x2 * (-5 + 6x)) = 0
((-5 * 8 + 6x * 8) + 6x * (-5 + 6x) + 8x2 * (-5 + 6x)) = 0
((-40 + 48x) + 6x * (-5 + 6x) + 8x2 * (-5 + 6x)) = 0
(-40 + 48x + (-5 * 6x + 6x * 6x) + 8x2 * (-5 + 6x)) = 0
(-40 + 48x + (-30x + 36x2) + 8x2 * (-5 + 6x)) = 0
(-40 + 48x + -30x + 36x2 + (-5 * 8x2 + 6x * 8x2)) = 0
(-40 + 48x + -30x + 36x2 + (-40x2 + 48x3)) = 0

Combine like terms: 48x + -30x = 18x
(-40 + 18x + 36x2 + -40x2 + 48x3) = 0

Combine like terms: 36x2 + -40x2 = -4x2
(-40 + 18x + -4x2 + 48x3) = 0

Solving
-40 + 18x + -4x2 + 48x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 9x + -2x2 + 24x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-20 + 9x + -2x2 + 24x3)' equal to zero and attempt to solve: Simplifying -20 + 9x + -2x2 + 24x3 = 0 Solving -20 + 9x + -2x2 + 24x3 = 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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