(X-7)(x+8)(x-4)=0

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Solution for (X-7)(x+8)(x-4)=0 equation: 


Simplifying
(X + -7)(x + 8)(x + -4) = 0

Reorder the terms:
(-7 + X)(x + 8)(x + -4) = 0

Reorder the terms:
(-7 + X)(8 + x)(x + -4) = 0

Reorder the terms:
(-7 + X)(8 + x)(-4 + x) = 0

Multiply (-7 + X) * (8 + x)
(-7(8 + x) + X(8 + x))(-4 + x) = 0
((8 * -7 + x * -7) + X(8 + x))(-4 + x) = 0
((-56 + -7x) + X(8 + x))(-4 + x) = 0
(-56 + -7x + (8 * X + x * X))(-4 + x) = 0
(-56 + -7x + (8X + xX))(-4 + x) = 0

Reorder the terms:
(-56 + 8X + -7x + xX)(-4 + x) = 0
(-56 + 8X + -7x + xX)(-4 + x) = 0

Multiply (-56 + 8X + -7x + xX) * (-4 + x)
(-56(-4 + x) + 8X * (-4 + x) + -7x * (-4 + x) + xX(-4 + x)) = 0
((-4 * -56 + x * -56) + 8X * (-4 + x) + -7x * (-4 + x) + xX(-4 + x)) = 0
((224 + -56x) + 8X * (-4 + x) + -7x * (-4 + x) + xX(-4 + x)) = 0
(224 + -56x + (-4 * 8X + x * 8X) + -7x * (-4 + x) + xX(-4 + x)) = 0
(224 + -56x + (-32X + 8xX) + -7x * (-4 + x) + xX(-4 + x)) = 0
(224 + -56x + -32X + 8xX + (-4 * -7x + x * -7x) + xX(-4 + x)) = 0
(224 + -56x + -32X + 8xX + (28x + -7x2) + xX(-4 + x)) = 0
(224 + -56x + -32X + 8xX + 28x + -7x2 + (-4 * xX + x * xX)) = 0
(224 + -56x + -32X + 8xX + 28x + -7x2 + (-4xX + x2X)) = 0

Reorder the terms:
(224 + -32X + -56x + 28x + 8xX + -4xX + -7x2 + x2X) = 0

Combine like terms: -56x + 28x = -28x
(224 + -32X + -28x + 8xX + -4xX + -7x2 + x2X) = 0

Combine like terms: 8xX + -4xX = 4xX
(224 + -32X + -28x + 4xX + -7x2 + x2X) = 0

Solving
224 + -32X + -28x + 4xX + -7x2 + x2X = 0

Solving for variable 'X'.

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

Add '-224' to each side of the equation.
224 + -32X + -28x + 4xX + -7x2 + -224 + x2X = 0 + -224

Reorder the terms:
224 + -224 + -32X + -28x + 4xX + -7x2 + x2X = 0 + -224

Combine like terms: 224 + -224 = 0
0 + -32X + -28x + 4xX + -7x2 + x2X = 0 + -224
-32X + -28x + 4xX + -7x2 + x2X = 0 + -224

Combine like terms: 0 + -224 = -224
-32X + -28x + 4xX + -7x2 + x2X = -224

Add '28x' to each side of the equation.
-32X + -28x + 4xX + -7x2 + 28x + x2X = -224 + 28x

Reorder the terms:
-32X + -28x + 28x + 4xX + -7x2 + x2X = -224 + 28x

Combine like terms: -28x + 28x = 0
-32X + 0 + 4xX + -7x2 + x2X = -224 + 28x
-32X + 4xX + -7x2 + x2X = -224 + 28x

Add '7x2' to each side of the equation.
-32X + 4xX + -7x2 + 7x2 + x2X = -224 + 28x + 7x2

Combine like terms: -7x2 + 7x2 = 0
-32X + 4xX + 0 + x2X = -224 + 28x + 7x2
-32X + 4xX + x2X = -224 + 28x + 7x2

Reorder the terms:
224 + -32X + -28x + 4xX + -7x2 + x2X = -224 + 28x + 7x2 + 224 + -28x + -7x2

Reorder the terms:
224 + -32X + -28x + 4xX + -7x2 + x2X = -224 + 224 + 28x + -28x + 7x2 + -7x2

Combine like terms: -224 + 224 = 0
224 + -32X + -28x + 4xX + -7x2 + x2X = 0 + 28x + -28x + 7x2 + -7x2
224 + -32X + -28x + 4xX + -7x2 + x2X = 28x + -28x + 7x2 + -7x2

Combine like terms: 28x + -28x = 0
224 + -32X + -28x + 4xX + -7x2 + x2X = 0 + 7x2 + -7x2
224 + -32X + -28x + 4xX + -7x2 + x2X = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
224 + -32X + -28x + 4xX + -7x2 + x2X = 0

The solution to this equation could not be determined.

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