(-x+2)(X^2-7x+12)=0

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Solution for (-x+2)(X^2-7x+12)=0 equation: 


Simplifying
(-1x + 2)(X2 + -7x + 12) = 0

Reorder the terms:
(2 + -1x)(X2 + -7x + 12) = 0

Reorder the terms:
(2 + -1x)(12 + X2 + -7x) = 0

Multiply (2 + -1x) * (12 + X2 + -7x)
(2(12 + X2 + -7x) + -1x * (12 + X2 + -7x)) = 0
((12 * 2 + X2 * 2 + -7x * 2) + -1x * (12 + X2 + -7x)) = 0
((24 + 2X2 + -14x) + -1x * (12 + X2 + -7x)) = 0
(24 + 2X2 + -14x + (12 * -1x + X2 * -1x + -7x * -1x)) = 0
(24 + 2X2 + -14x + (-12x + -1xX2 + 7x2)) = 0

Combine like terms: -14x + -12x = -26x
(24 + 2X2 + -26x + -1xX2 + 7x2) = 0

Solving
24 + 2X2 + -26x + -1xX2 + 7x2 = 0

Solving for variable 'X'.

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

Add '-24' to each side of the equation.
24 + 2X2 + -26x + -1xX2 + -24 + 7x2 = 0 + -24

Reorder the terms:
24 + -24 + 2X2 + -26x + -1xX2 + 7x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 2X2 + -26x + -1xX2 + 7x2 = 0 + -24
2X2 + -26x + -1xX2 + 7x2 = 0 + -24

Combine like terms: 0 + -24 = -24
2X2 + -26x + -1xX2 + 7x2 = -24

Add '26x' to each side of the equation.
2X2 + -26x + -1xX2 + 26x + 7x2 = -24 + 26x

Reorder the terms:
2X2 + -26x + 26x + -1xX2 + 7x2 = -24 + 26x

Combine like terms: -26x + 26x = 0
2X2 + 0 + -1xX2 + 7x2 = -24 + 26x
2X2 + -1xX2 + 7x2 = -24 + 26x

Add '-7x2' to each side of the equation.
2X2 + -1xX2 + 7x2 + -7x2 = -24 + 26x + -7x2

Combine like terms: 7x2 + -7x2 = 0
2X2 + -1xX2 + 0 = -24 + 26x + -7x2
2X2 + -1xX2 = -24 + 26x + -7x2

Reorder the terms:
24 + 2X2 + -26x + -1xX2 + 7x2 = -24 + 26x + -7x2 + 24 + -26x + 7x2

Reorder the terms:
24 + 2X2 + -26x + -1xX2 + 7x2 = -24 + 24 + 26x + -26x + -7x2 + 7x2

Combine like terms: -24 + 24 = 0
24 + 2X2 + -26x + -1xX2 + 7x2 = 0 + 26x + -26x + -7x2 + 7x2
24 + 2X2 + -26x + -1xX2 + 7x2 = 26x + -26x + -7x2 + 7x2

Combine like terms: 26x + -26x = 0
24 + 2X2 + -26x + -1xX2 + 7x2 = 0 + -7x2 + 7x2
24 + 2X2 + -26x + -1xX2 + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
24 + 2X2 + -26x + -1xX2 + 7x2 = 0

The solution to this equation could not be determined.

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