(2x+5)(3x^2-14+8)=0

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Solution for (2x+5)(3x^2-14+8)=0 equation:


Simplifying
(2x + 5)(3x2 + -14 + 8) = 0

Reorder the terms:
(5 + 2x)(3x2 + -14 + 8) = 0

Reorder the terms:
(5 + 2x)(-14 + 8 + 3x2) = 0

Combine like terms: -14 + 8 = -6
(5 + 2x)(-6 + 3x2) = 0

Multiply (5 + 2x) * (-6 + 3x2)
(5(-6 + 3x2) + 2x * (-6 + 3x2)) = 0
((-6 * 5 + 3x2 * 5) + 2x * (-6 + 3x2)) = 0
((-30 + 15x2) + 2x * (-6 + 3x2)) = 0
(-30 + 15x2 + (-6 * 2x + 3x2 * 2x)) = 0
(-30 + 15x2 + (-12x + 6x3)) = 0

Reorder the terms:
(-30 + -12x + 15x2 + 6x3) = 0
(-30 + -12x + 15x2 + 6x3) = 0

Solving
-30 + -12x + 15x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + -4x + 5x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-10 + -4x + 5x2 + 2x3)' equal to zero and attempt to solve: Simplifying -10 + -4x + 5x2 + 2x3 = 0 Solving -10 + -4x + 5x2 + 2x3 = 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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