(X-4)(x+1)(x-7)=0

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Solution for (X-4)(x+1)(x-7)=0 equation: 


Simplifying
(X + -4)(x + 1)(x + -7) = 0

Reorder the terms:
(-4 + X)(x + 1)(x + -7) = 0

Reorder the terms:
(-4 + X)(1 + x)(x + -7) = 0

Reorder the terms:
(-4 + X)(1 + x)(-7 + x) = 0

Multiply (-4 + X) * (1 + x)
(-4(1 + x) + X(1 + x))(-7 + x) = 0
((1 * -4 + x * -4) + X(1 + x))(-7 + x) = 0
((-4 + -4x) + X(1 + x))(-7 + x) = 0
(-4 + -4x + (1 * X + x * X))(-7 + x) = 0
(-4 + -4x + (1X + xX))(-7 + x) = 0

Reorder the terms:
(-4 + 1X + -4x + xX)(-7 + x) = 0
(-4 + 1X + -4x + xX)(-7 + x) = 0

Multiply (-4 + 1X + -4x + xX) * (-7 + x)
(-4(-7 + x) + 1X * (-7 + x) + -4x * (-7 + x) + xX(-7 + x)) = 0
((-7 * -4 + x * -4) + 1X * (-7 + x) + -4x * (-7 + x) + xX(-7 + x)) = 0
((28 + -4x) + 1X * (-7 + x) + -4x * (-7 + x) + xX(-7 + x)) = 0
(28 + -4x + (-7 * 1X + x * 1X) + -4x * (-7 + x) + xX(-7 + x)) = 0
(28 + -4x + (-7X + 1xX) + -4x * (-7 + x) + xX(-7 + x)) = 0
(28 + -4x + -7X + 1xX + (-7 * -4x + x * -4x) + xX(-7 + x)) = 0
(28 + -4x + -7X + 1xX + (28x + -4x2) + xX(-7 + x)) = 0
(28 + -4x + -7X + 1xX + 28x + -4x2 + (-7 * xX + x * xX)) = 0
(28 + -4x + -7X + 1xX + 28x + -4x2 + (-7xX + x2X)) = 0

Reorder the terms:
(28 + -7X + -4x + 28x + 1xX + -7xX + -4x2 + x2X) = 0

Combine like terms: -4x + 28x = 24x
(28 + -7X + 24x + 1xX + -7xX + -4x2 + x2X) = 0

Combine like terms: 1xX + -7xX = -6xX
(28 + -7X + 24x + -6xX + -4x2 + x2X) = 0

Solving
28 + -7X + 24x + -6xX + -4x2 + x2X = 0

Solving for variable 'X'.

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

Add '-28' to each side of the equation.
28 + -7X + 24x + -6xX + -4x2 + -28 + x2X = 0 + -28

Reorder the terms:
28 + -28 + -7X + 24x + -6xX + -4x2 + x2X = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -7X + 24x + -6xX + -4x2 + x2X = 0 + -28
-7X + 24x + -6xX + -4x2 + x2X = 0 + -28

Combine like terms: 0 + -28 = -28
-7X + 24x + -6xX + -4x2 + x2X = -28

Add '-24x' to each side of the equation.
-7X + 24x + -6xX + -4x2 + -24x + x2X = -28 + -24x

Reorder the terms:
-7X + 24x + -24x + -6xX + -4x2 + x2X = -28 + -24x

Combine like terms: 24x + -24x = 0
-7X + 0 + -6xX + -4x2 + x2X = -28 + -24x
-7X + -6xX + -4x2 + x2X = -28 + -24x

Add '4x2' to each side of the equation.
-7X + -6xX + -4x2 + 4x2 + x2X = -28 + -24x + 4x2

Combine like terms: -4x2 + 4x2 = 0
-7X + -6xX + 0 + x2X = -28 + -24x + 4x2
-7X + -6xX + x2X = -28 + -24x + 4x2

Reorder the terms:
28 + -7X + 24x + -6xX + -4x2 + x2X = -28 + -24x + 4x2 + 28 + 24x + -4x2

Reorder the terms:
28 + -7X + 24x + -6xX + -4x2 + x2X = -28 + 28 + -24x + 24x + 4x2 + -4x2

Combine like terms: -28 + 28 = 0
28 + -7X + 24x + -6xX + -4x2 + x2X = 0 + -24x + 24x + 4x2 + -4x2
28 + -7X + 24x + -6xX + -4x2 + x2X = -24x + 24x + 4x2 + -4x2

Combine like terms: -24x + 24x = 0
28 + -7X + 24x + -6xX + -4x2 + x2X = 0 + 4x2 + -4x2
28 + -7X + 24x + -6xX + -4x2 + x2X = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
28 + -7X + 24x + -6xX + -4x2 + x2X = 0

The solution to this equation could not be determined.

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