(X-2)(x-7)+14=0

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Solution for (X-2)(x-7)+14=0 equation:


Simplifying
(X + -2)(x + -7) + 14 = 0

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

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

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

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

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

Combine like terms: 14 + 14 = 28
28 + -7X + -2x + xX = 0

Solving
28 + -7X + -2x + xX = 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 + -2x + -28 + xX = 0 + -28

Reorder the terms:
28 + -28 + -7X + -2x + xX = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -7X + -2x + xX = 0 + -28
-7X + -2x + xX = 0 + -28

Combine like terms: 0 + -28 = -28
-7X + -2x + xX = -28

Add '2x' to each side of the equation.
-7X + -2x + 2x + xX = -28 + 2x

Combine like terms: -2x + 2x = 0
-7X + 0 + xX = -28 + 2x
-7X + xX = -28 + 2x

Reorder the terms:
28 + -7X + -2x + xX = -28 + 2x + 28 + -2x

Reorder the terms:
28 + -7X + -2x + xX = -28 + 28 + 2x + -2x

Combine like terms: -28 + 28 = 0
28 + -7X + -2x + xX = 0 + 2x + -2x
28 + -7X + -2x + xX = 2x + -2x

Combine like terms: 2x + -2x = 0
28 + -7X + -2x + xX = 0

The solution to this equation could not be determined.

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