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

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Solution for 2X(X+7)(X-4)=0 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 = 3X
2X(-28 + 3X + X2) = 0
(-28 * 2X + 3X * 2X + X2 * 2X) = 0
(-56X + 6X2 + 2X3) = 0

Solving
-56X + 6X2 + 2X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X'.
2X(-28 + 3X + X2) = 0

Factor a trinomial.
2X((-7 + -1X)(4 + -1X)) = 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 + -1X)' equal to zero and attempt to solve:

Simplifying
-7 + -1X = 0

Solving
-7 + -1X = 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 + -1X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1X = 0 + 7
-1X = 0 + 7

Combine like terms: 0 + 7 = 7
-1X = 7

Divide each side by '-1'.
X = -7

Simplifying
X = -7

Subproblem 3
Set the factor '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 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 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Divide each side by '-1'.
X = 4

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

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