2X(X+7)(X+4)=

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Solution for 2X(X+7)(X+4)= equation: 


Simplifying
2X(X + 7)(X + 4) = 0

Reorder the terms:
2X(7 + X)(X + 4) = 0

Reorder the terms:
2X(7 + X)(4 + X) = 0

Multiply (7 + X) * (4 + X)
2X(7(4 + X) + X(4 + X)) = 0
2X((4 * 7 + X * 7) + X(4 + X)) = 0
2X((28 + 7X) + X(4 + X)) = 0
2X(28 + 7X + (4 * X + X * X)) = 0
2X(28 + 7X + (4X + X2)) = 0

Combine like terms: 7X + 4X = 11X
2X(28 + 11X + X2) = 0
(28 * 2X + 11X * 2X + X2 * 2X) = 0
(56X + 22X2 + 2X3) = 0

Solving
56X + 22X2 + 2X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X'.
2X(28 + 11X + X2) = 0

Factor a trinomial.
2X((7 + X)(4 + X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(7 + X)' equal to zero and attempt to solve:

Simplifying
7 + X = 0

Solving
7 + X = 0

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

Add '-7' to each side of the equation.
7 + -7 + X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + X = 0 + -7
X = 0 + -7

Combine like terms: 0 + -7 = -7
X = -7

Simplifying
X = -7

Subproblem 3
Set the factor '(4 + X)' equal to zero and attempt to solve:

Simplifying
4 + X = 0

Solving
4 + X = 0

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

Add '-4' to each side of the equation.
4 + -4 + X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X = 0 + -4
X = 0 + -4

Combine like terms: 0 + -4 = -4
X = -4

Simplifying
X = -4
Solution
X = {0, -7, -4}

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