(X-7)(x+2)(x-5)=0

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Solution for (X-7)(x+2)(x-5)=0 equation: 


Simplifying
(X + -7)(x + 2)(x + -5) = 0

Reorder the terms:
(-7 + X)(x + 2)(x + -5) = 0

Reorder the terms:
(-7 + X)(2 + x)(x + -5) = 0

Reorder the terms:
(-7 + X)(2 + x)(-5 + x) = 0

Multiply (-7 + X) * (2 + x)
(-7(2 + x) + X(2 + x))(-5 + x) = 0
((2 * -7 + x * -7) + X(2 + x))(-5 + x) = 0
((-14 + -7x) + X(2 + x))(-5 + x) = 0
(-14 + -7x + (2 * X + x * X))(-5 + x) = 0
(-14 + -7x + (2X + xX))(-5 + x) = 0

Reorder the terms:
(-14 + 2X + -7x + xX)(-5 + x) = 0
(-14 + 2X + -7x + xX)(-5 + x) = 0

Multiply (-14 + 2X + -7x + xX) * (-5 + x)
(-14(-5 + x) + 2X * (-5 + x) + -7x * (-5 + x) + xX(-5 + x)) = 0
((-5 * -14 + x * -14) + 2X * (-5 + x) + -7x * (-5 + x) + xX(-5 + x)) = 0
((70 + -14x) + 2X * (-5 + x) + -7x * (-5 + x) + xX(-5 + x)) = 0
(70 + -14x + (-5 * 2X + x * 2X) + -7x * (-5 + x) + xX(-5 + x)) = 0
(70 + -14x + (-10X + 2xX) + -7x * (-5 + x) + xX(-5 + x)) = 0
(70 + -14x + -10X + 2xX + (-5 * -7x + x * -7x) + xX(-5 + x)) = 0
(70 + -14x + -10X + 2xX + (35x + -7x2) + xX(-5 + x)) = 0
(70 + -14x + -10X + 2xX + 35x + -7x2 + (-5 * xX + x * xX)) = 0
(70 + -14x + -10X + 2xX + 35x + -7x2 + (-5xX + x2X)) = 0

Reorder the terms:
(70 + -10X + -14x + 35x + 2xX + -5xX + -7x2 + x2X) = 0

Combine like terms: -14x + 35x = 21x
(70 + -10X + 21x + 2xX + -5xX + -7x2 + x2X) = 0

Combine like terms: 2xX + -5xX = -3xX
(70 + -10X + 21x + -3xX + -7x2 + x2X) = 0

Solving
70 + -10X + 21x + -3xX + -7x2 + x2X = 0

Solving for variable 'X'.

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

Add '-70' to each side of the equation.
70 + -10X + 21x + -3xX + -7x2 + -70 + x2X = 0 + -70

Reorder the terms:
70 + -70 + -10X + 21x + -3xX + -7x2 + x2X = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -10X + 21x + -3xX + -7x2 + x2X = 0 + -70
-10X + 21x + -3xX + -7x2 + x2X = 0 + -70

Combine like terms: 0 + -70 = -70
-10X + 21x + -3xX + -7x2 + x2X = -70

Add '-21x' to each side of the equation.
-10X + 21x + -3xX + -7x2 + -21x + x2X = -70 + -21x

Reorder the terms:
-10X + 21x + -21x + -3xX + -7x2 + x2X = -70 + -21x

Combine like terms: 21x + -21x = 0
-10X + 0 + -3xX + -7x2 + x2X = -70 + -21x
-10X + -3xX + -7x2 + x2X = -70 + -21x

Add '7x2' to each side of the equation.
-10X + -3xX + -7x2 + 7x2 + x2X = -70 + -21x + 7x2

Combine like terms: -7x2 + 7x2 = 0
-10X + -3xX + 0 + x2X = -70 + -21x + 7x2
-10X + -3xX + x2X = -70 + -21x + 7x2

Reorder the terms:
70 + -10X + 21x + -3xX + -7x2 + x2X = -70 + -21x + 7x2 + 70 + 21x + -7x2

Reorder the terms:
70 + -10X + 21x + -3xX + -7x2 + x2X = -70 + 70 + -21x + 21x + 7x2 + -7x2

Combine like terms: -70 + 70 = 0
70 + -10X + 21x + -3xX + -7x2 + x2X = 0 + -21x + 21x + 7x2 + -7x2
70 + -10X + 21x + -3xX + -7x2 + x2X = -21x + 21x + 7x2 + -7x2

Combine like terms: -21x + 21x = 0
70 + -10X + 21x + -3xX + -7x2 + x2X = 0 + 7x2 + -7x2
70 + -10X + 21x + -3xX + -7x2 + x2X = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
70 + -10X + 21x + -3xX + -7x2 + x2X = 0

The solution to this equation could not be determined.

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