(3x^2-6x-3)(7x+8)=0

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Solution for (3x^2-6x-3)(7x+8)=0 equation:


Simplifying
(3x2 + -6x + -3)(7x + 8) = 0

Reorder the terms:
(-3 + -6x + 3x2)(7x + 8) = 0

Reorder the terms:
(-3 + -6x + 3x2)(8 + 7x) = 0

Multiply (-3 + -6x + 3x2) * (8 + 7x)
(-3(8 + 7x) + -6x * (8 + 7x) + 3x2 * (8 + 7x)) = 0
((8 * -3 + 7x * -3) + -6x * (8 + 7x) + 3x2 * (8 + 7x)) = 0
((-24 + -21x) + -6x * (8 + 7x) + 3x2 * (8 + 7x)) = 0
(-24 + -21x + (8 * -6x + 7x * -6x) + 3x2 * (8 + 7x)) = 0
(-24 + -21x + (-48x + -42x2) + 3x2 * (8 + 7x)) = 0
(-24 + -21x + -48x + -42x2 + (8 * 3x2 + 7x * 3x2)) = 0
(-24 + -21x + -48x + -42x2 + (24x2 + 21x3)) = 0

Combine like terms: -21x + -48x = -69x
(-24 + -69x + -42x2 + 24x2 + 21x3) = 0

Combine like terms: -42x2 + 24x2 = -18x2
(-24 + -69x + -18x2 + 21x3) = 0

Solving
-24 + -69x + -18x2 + 21x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -23x + -6x2 + 7x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-8 + -23x + -6x2 + 7x3)' equal to zero and attempt to solve: Simplifying -8 + -23x + -6x2 + 7x3 = 0 Solving -8 + -23x + -6x2 + 7x3 = 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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