(3x-8)(6x^2-14)=0

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Solution for (3x-8)(6x^2-14)=0 equation:


Simplifying
(3x + -8)(6x2 + -14) = 0

Reorder the terms:
(-8 + 3x)(6x2 + -14) = 0

Reorder the terms:
(-8 + 3x)(-14 + 6x2) = 0

Multiply (-8 + 3x) * (-14 + 6x2)
(-8(-14 + 6x2) + 3x * (-14 + 6x2)) = 0
((-14 * -8 + 6x2 * -8) + 3x * (-14 + 6x2)) = 0
((112 + -48x2) + 3x * (-14 + 6x2)) = 0
(112 + -48x2 + (-14 * 3x + 6x2 * 3x)) = 0
(112 + -48x2 + (-42x + 18x3)) = 0

Reorder the terms:
(112 + -42x + -48x2 + 18x3) = 0
(112 + -42x + -48x2 + 18x3) = 0

Solving
112 + -42x + -48x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -21x + -24x2 + 9x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(56 + -21x + -24x2 + 9x3)' equal to zero and attempt to solve: Simplifying 56 + -21x + -24x2 + 9x3 = 0 Solving 56 + -21x + -24x2 + 9x3 = 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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