(x+4)(x+6)(-2x-4)=0

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Solution for (x+4)(x+6)(-2x-4)=0 equation:


Simplifying
(x + 4)(x + 6)(-2x + -4) = 0

Reorder the terms:
(4 + x)(x + 6)(-2x + -4) = 0

Reorder the terms:
(4 + x)(6 + x)(-2x + -4) = 0

Reorder the terms:
(4 + x)(6 + x)(-4 + -2x) = 0

Multiply (4 + x) * (6 + x)
(4(6 + x) + x(6 + x))(-4 + -2x) = 0
((6 * 4 + x * 4) + x(6 + x))(-4 + -2x) = 0
((24 + 4x) + x(6 + x))(-4 + -2x) = 0
(24 + 4x + (6 * x + x * x))(-4 + -2x) = 0
(24 + 4x + (6x + x2))(-4 + -2x) = 0

Combine like terms: 4x + 6x = 10x
(24 + 10x + x2)(-4 + -2x) = 0

Multiply (24 + 10x + x2) * (-4 + -2x)
(24(-4 + -2x) + 10x * (-4 + -2x) + x2(-4 + -2x)) = 0
((-4 * 24 + -2x * 24) + 10x * (-4 + -2x) + x2(-4 + -2x)) = 0
((-96 + -48x) + 10x * (-4 + -2x) + x2(-4 + -2x)) = 0
(-96 + -48x + (-4 * 10x + -2x * 10x) + x2(-4 + -2x)) = 0
(-96 + -48x + (-40x + -20x2) + x2(-4 + -2x)) = 0
(-96 + -48x + -40x + -20x2 + (-4 * x2 + -2x * x2)) = 0
(-96 + -48x + -40x + -20x2 + (-4x2 + -2x3)) = 0

Combine like terms: -48x + -40x = -88x
(-96 + -88x + -20x2 + -4x2 + -2x3) = 0

Combine like terms: -20x2 + -4x2 = -24x2
(-96 + -88x + -24x2 + -2x3) = 0

Solving
-96 + -88x + -24x2 + -2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(48 + 44x + 12x2 + x3) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(48 + 44x + 12x2 + x3)' equal to zero and attempt to solve: Simplifying 48 + 44x + 12x2 + x3 = 0 Solving 48 + 44x + 12x2 + x3 = 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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