(2x+4)(3x^2-2x-10)=0

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Solution for (2x+4)(3x^2-2x-10)=0 equation:


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

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

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

Multiply (4 + 2x) * (-10 + -2x + 3x2)
(4(-10 + -2x + 3x2) + 2x * (-10 + -2x + 3x2)) = 0
((-10 * 4 + -2x * 4 + 3x2 * 4) + 2x * (-10 + -2x + 3x2)) = 0
((-40 + -8x + 12x2) + 2x * (-10 + -2x + 3x2)) = 0
(-40 + -8x + 12x2 + (-10 * 2x + -2x * 2x + 3x2 * 2x)) = 0
(-40 + -8x + 12x2 + (-20x + -4x2 + 6x3)) = 0

Reorder the terms:
(-40 + -8x + -20x + 12x2 + -4x2 + 6x3) = 0

Combine like terms: -8x + -20x = -28x
(-40 + -28x + 12x2 + -4x2 + 6x3) = 0

Combine like terms: 12x2 + -4x2 = 8x2
(-40 + -28x + 8x2 + 6x3) = 0

Solving
-40 + -28x + 8x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -14x + 4x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-20 + -14x + 4x2 + 3x3)' equal to zero and attempt to solve: Simplifying -20 + -14x + 4x2 + 3x3 = 0 Solving -20 + -14x + 4x2 + 3x3 = 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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