(X+4)(2x-6)(x+10)=0

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Solution for (X+4)(2x-6)(x+10)=0 equation: 


Simplifying
(X + 4)(2x + -6)(x + 10) = 0

Reorder the terms:
(4 + X)(2x + -6)(x + 10) = 0

Reorder the terms:
(4 + X)(-6 + 2x)(x + 10) = 0

Reorder the terms:
(4 + X)(-6 + 2x)(10 + x) = 0

Multiply (4 + X) * (-6 + 2x)
(4(-6 + 2x) + X(-6 + 2x))(10 + x) = 0
((-6 * 4 + 2x * 4) + X(-6 + 2x))(10 + x) = 0
((-24 + 8x) + X(-6 + 2x))(10 + x) = 0
(-24 + 8x + (-6 * X + 2x * X))(10 + x) = 0
(-24 + 8x + (-6X + 2xX))(10 + x) = 0

Reorder the terms:
(-24 + -6X + 8x + 2xX)(10 + x) = 0
(-24 + -6X + 8x + 2xX)(10 + x) = 0

Multiply (-24 + -6X + 8x + 2xX) * (10 + x)
(-24(10 + x) + -6X * (10 + x) + 8x * (10 + x) + 2xX * (10 + x)) = 0
((10 * -24 + x * -24) + -6X * (10 + x) + 8x * (10 + x) + 2xX * (10 + x)) = 0
((-240 + -24x) + -6X * (10 + x) + 8x * (10 + x) + 2xX * (10 + x)) = 0
(-240 + -24x + (10 * -6X + x * -6X) + 8x * (10 + x) + 2xX * (10 + x)) = 0
(-240 + -24x + (-60X + -6xX) + 8x * (10 + x) + 2xX * (10 + x)) = 0
(-240 + -24x + -60X + -6xX + (10 * 8x + x * 8x) + 2xX * (10 + x)) = 0
(-240 + -24x + -60X + -6xX + (80x + 8x2) + 2xX * (10 + x)) = 0
(-240 + -24x + -60X + -6xX + 80x + 8x2 + (10 * 2xX + x * 2xX)) = 0
(-240 + -24x + -60X + -6xX + 80x + 8x2 + (20xX + 2x2X)) = 0

Reorder the terms:
(-240 + -60X + -24x + 80x + -6xX + 20xX + 8x2 + 2x2X) = 0

Combine like terms: -24x + 80x = 56x
(-240 + -60X + 56x + -6xX + 20xX + 8x2 + 2x2X) = 0

Combine like terms: -6xX + 20xX = 14xX
(-240 + -60X + 56x + 14xX + 8x2 + 2x2X) = 0

Solving
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '240' to each side of the equation.
-240 + -60X + 56x + 14xX + 8x2 + 240 + 2x2X = 0 + 240

Reorder the terms:
-240 + 240 + -60X + 56x + 14xX + 8x2 + 2x2X = 0 + 240

Combine like terms: -240 + 240 = 0
0 + -60X + 56x + 14xX + 8x2 + 2x2X = 0 + 240
-60X + 56x + 14xX + 8x2 + 2x2X = 0 + 240

Combine like terms: 0 + 240 = 240
-60X + 56x + 14xX + 8x2 + 2x2X = 240

Add '-56x' to each side of the equation.
-60X + 56x + 14xX + 8x2 + -56x + 2x2X = 240 + -56x

Reorder the terms:
-60X + 56x + -56x + 14xX + 8x2 + 2x2X = 240 + -56x

Combine like terms: 56x + -56x = 0
-60X + 0 + 14xX + 8x2 + 2x2X = 240 + -56x
-60X + 14xX + 8x2 + 2x2X = 240 + -56x

Add '-8x2' to each side of the equation.
-60X + 14xX + 8x2 + -8x2 + 2x2X = 240 + -56x + -8x2

Combine like terms: 8x2 + -8x2 = 0
-60X + 14xX + 0 + 2x2X = 240 + -56x + -8x2
-60X + 14xX + 2x2X = 240 + -56x + -8x2

Reorder the terms:
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = 240 + -56x + -8x2 + -240 + 56x + 8x2

Reorder the terms:
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = 240 + -240 + -56x + 56x + -8x2 + 8x2

Combine like terms: 240 + -240 = 0
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = 0 + -56x + 56x + -8x2 + 8x2
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = -56x + 56x + -8x2 + 8x2

Combine like terms: -56x + 56x = 0
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = 0 + -8x2 + 8x2
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-240 + -60X + 56x + 14xX + 8x2 + 2x2X = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + -30X + 28x + 7xX + 4x2 + x2X) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-120 + -30X + 28x + 7xX + 4x2 + x2X)' equal to zero and attempt to solve:

Simplifying
-120 + -30X + 28x + 7xX + 4x2 + x2X = 0

Solving
-120 + -30X + 28x + 7xX + 4x2 + x2X = 0

Move all terms containing X to the left, all other terms to the right.

Add '120' to each side of the equation.
-120 + -30X + 28x + 7xX + 4x2 + 120 + x2X = 0 + 120

Reorder the terms:
-120 + 120 + -30X + 28x + 7xX + 4x2 + x2X = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -30X + 28x + 7xX + 4x2 + x2X = 0 + 120
-30X + 28x + 7xX + 4x2 + x2X = 0 + 120

Combine like terms: 0 + 120 = 120
-30X + 28x + 7xX + 4x2 + x2X = 120

Add '-28x' to each side of the equation.
-30X + 28x + 7xX + 4x2 + -28x + x2X = 120 + -28x

Reorder the terms:
-30X + 28x + -28x + 7xX + 4x2 + x2X = 120 + -28x

Combine like terms: 28x + -28x = 0
-30X + 0 + 7xX + 4x2 + x2X = 120 + -28x
-30X + 7xX + 4x2 + x2X = 120 + -28x

Add '-4x2' to each side of the equation.
-30X + 7xX + 4x2 + -4x2 + x2X = 120 + -28x + -4x2

Combine like terms: 4x2 + -4x2 = 0
-30X + 7xX + 0 + x2X = 120 + -28x + -4x2
-30X + 7xX + x2X = 120 + -28x + -4x2

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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