(4x^2-10x-24)(2x+3)=

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Solution for (4x^2-10x-24)(2x+3)= equation:


Simplifying
(4x2 + -10x + -24)(2x + 3) = 0

Reorder the terms:
(-24 + -10x + 4x2)(2x + 3) = 0

Reorder the terms:
(-24 + -10x + 4x2)(3 + 2x) = 0

Multiply (-24 + -10x + 4x2) * (3 + 2x)
(-24(3 + 2x) + -10x * (3 + 2x) + 4x2 * (3 + 2x)) = 0
((3 * -24 + 2x * -24) + -10x * (3 + 2x) + 4x2 * (3 + 2x)) = 0
((-72 + -48x) + -10x * (3 + 2x) + 4x2 * (3 + 2x)) = 0
(-72 + -48x + (3 * -10x + 2x * -10x) + 4x2 * (3 + 2x)) = 0
(-72 + -48x + (-30x + -20x2) + 4x2 * (3 + 2x)) = 0
(-72 + -48x + -30x + -20x2 + (3 * 4x2 + 2x * 4x2)) = 0
(-72 + -48x + -30x + -20x2 + (12x2 + 8x3)) = 0

Combine like terms: -48x + -30x = -78x
(-72 + -78x + -20x2 + 12x2 + 8x3) = 0

Combine like terms: -20x2 + 12x2 = -8x2
(-72 + -78x + -8x2 + 8x3) = 0

Solving
-72 + -78x + -8x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + -39x + -4x2 + 4x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-36 + -39x + -4x2 + 4x3)' equal to zero and attempt to solve: Simplifying -36 + -39x + -4x2 + 4x3 = 0 Solving -36 + -39x + -4x2 + 4x3 = 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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