(X-7)(x+6)(x-10)=0

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Solution for (X-7)(x+6)(x-10)=0 equation:


Simplifying
(X + -7)(x + 6)(x + -10) = 0

Reorder the terms:
(-7 + X)(x + 6)(x + -10) = 0

Reorder the terms:
(-7 + X)(6 + x)(x + -10) = 0

Reorder the terms:
(-7 + X)(6 + x)(-10 + x) = 0

Multiply (-7 + X) * (6 + x)
(-7(6 + x) + X(6 + x))(-10 + x) = 0
((6 * -7 + x * -7) + X(6 + x))(-10 + x) = 0
((-42 + -7x) + X(6 + x))(-10 + x) = 0
(-42 + -7x + (6 * X + x * X))(-10 + x) = 0
(-42 + -7x + (6X + xX))(-10 + x) = 0

Reorder the terms:
(-42 + 6X + -7x + xX)(-10 + x) = 0
(-42 + 6X + -7x + xX)(-10 + x) = 0

Multiply (-42 + 6X + -7x + xX) * (-10 + x)
(-42(-10 + x) + 6X * (-10 + x) + -7x * (-10 + x) + xX(-10 + x)) = 0
((-10 * -42 + x * -42) + 6X * (-10 + x) + -7x * (-10 + x) + xX(-10 + x)) = 0
((420 + -42x) + 6X * (-10 + x) + -7x * (-10 + x) + xX(-10 + x)) = 0
(420 + -42x + (-10 * 6X + x * 6X) + -7x * (-10 + x) + xX(-10 + x)) = 0
(420 + -42x + (-60X + 6xX) + -7x * (-10 + x) + xX(-10 + x)) = 0
(420 + -42x + -60X + 6xX + (-10 * -7x + x * -7x) + xX(-10 + x)) = 0
(420 + -42x + -60X + 6xX + (70x + -7x2) + xX(-10 + x)) = 0
(420 + -42x + -60X + 6xX + 70x + -7x2 + (-10 * xX + x * xX)) = 0
(420 + -42x + -60X + 6xX + 70x + -7x2 + (-10xX + x2X)) = 0

Reorder the terms:
(420 + -60X + -42x + 70x + 6xX + -10xX + -7x2 + x2X) = 0

Combine like terms: -42x + 70x = 28x
(420 + -60X + 28x + 6xX + -10xX + -7x2 + x2X) = 0

Combine like terms: 6xX + -10xX = -4xX
(420 + -60X + 28x + -4xX + -7x2 + x2X) = 0

Solving
420 + -60X + 28x + -4xX + -7x2 + x2X = 0

Solving for variable 'X'.

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

Add '-420' to each side of the equation.
420 + -60X + 28x + -4xX + -7x2 + -420 + x2X = 0 + -420

Reorder the terms:
420 + -420 + -60X + 28x + -4xX + -7x2 + x2X = 0 + -420

Combine like terms: 420 + -420 = 0
0 + -60X + 28x + -4xX + -7x2 + x2X = 0 + -420
-60X + 28x + -4xX + -7x2 + x2X = 0 + -420

Combine like terms: 0 + -420 = -420
-60X + 28x + -4xX + -7x2 + x2X = -420

Add '-28x' to each side of the equation.
-60X + 28x + -4xX + -7x2 + -28x + x2X = -420 + -28x

Reorder the terms:
-60X + 28x + -28x + -4xX + -7x2 + x2X = -420 + -28x

Combine like terms: 28x + -28x = 0
-60X + 0 + -4xX + -7x2 + x2X = -420 + -28x
-60X + -4xX + -7x2 + x2X = -420 + -28x

Add '7x2' to each side of the equation.
-60X + -4xX + -7x2 + 7x2 + x2X = -420 + -28x + 7x2

Combine like terms: -7x2 + 7x2 = 0
-60X + -4xX + 0 + x2X = -420 + -28x + 7x2
-60X + -4xX + x2X = -420 + -28x + 7x2

Reorder the terms:
420 + -60X + 28x + -4xX + -7x2 + x2X = -420 + -28x + 7x2 + 420 + 28x + -7x2

Reorder the terms:
420 + -60X + 28x + -4xX + -7x2 + x2X = -420 + 420 + -28x + 28x + 7x2 + -7x2

Combine like terms: -420 + 420 = 0
420 + -60X + 28x + -4xX + -7x2 + x2X = 0 + -28x + 28x + 7x2 + -7x2
420 + -60X + 28x + -4xX + -7x2 + x2X = -28x + 28x + 7x2 + -7x2

Combine like terms: -28x + 28x = 0
420 + -60X + 28x + -4xX + -7x2 + x2X = 0 + 7x2 + -7x2
420 + -60X + 28x + -4xX + -7x2 + x2X = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
420 + -60X + 28x + -4xX + -7x2 + x2X = 0

The solution to this equation could not be determined.

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