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

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Solution for X^2(x^2-4)(x+7)=0 equation: 


Simplifying
X2(x2 + -4)(x + 7) = 0

Reorder the terms:
X2(-4 + x2)(x + 7) = 0

Reorder the terms:
X2(-4 + x2)(7 + x) = 0

Multiply (-4 + x2) * (7 + x)
X2(-4(7 + x) + x2(7 + x)) = 0
X2((7 * -4 + x * -4) + x2(7 + x)) = 0
X2((-28 + -4x) + x2(7 + x)) = 0
X2(-28 + -4x + (7 * x2 + x * x2)) = 0
X2(-28 + -4x + (7x2 + x3)) = 0
X2(-28 + -4x + 7x2 + x3) = 0
(-28 * X2 + -4x * X2 + 7x2 * X2 + x3 * X2) = 0
(-28X2 + -4xX2 + 7x2X2 + x3X2) = 0

Solving
-28X2 + -4xX2 + 7x2X2 + x3X2 = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(-28 + -4x + 7x2 + x3) = 0


Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(-28 + -4x + 7x2 + x3)' equal to zero and attempt to solve:

Simplifying
-28 + -4x + 7x2 + x3 = 0

Solving
-28 + -4x + 7x2 + x3 = 0

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

Add '28' to each side of the equation.
-28 + -4x + 7x2 + 28 + x3 = 0 + 28

Reorder the terms:
-28 + 28 + -4x + 7x2 + x3 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -4x + 7x2 + x3 = 0 + 28
-4x + 7x2 + x3 = 0 + 28

Combine like terms: 0 + 28 = 28
-4x + 7x2 + x3 = 28

Add '4x' to each side of the equation.
-4x + 7x2 + 4x + x3 = 28 + 4x

Reorder the terms:
-4x + 4x + 7x2 + x3 = 28 + 4x

Combine like terms: -4x + 4x = 0
0 + 7x2 + x3 = 28 + 4x
7x2 + x3 = 28 + 4x

Add '-7x2' to each side of the equation.
7x2 + -7x2 + x3 = 28 + 4x + -7x2

Combine like terms: 7x2 + -7x2 = 0
0 + x3 = 28 + 4x + -7x2
x3 = 28 + 4x + -7x2

Add '-1x3' to each side of the equation.
x3 + -1x3 = 28 + 4x + -7x2 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 28 + 4x + -7x2 + -1x3

Simplifying
0 = 28 + 4x + -7x2 + -1x3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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