(X)(x+10)=(x+2)(x+7)

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Solution for (X)(x+10)=(x+2)(x+7) equation:


Simplifying
(X)(x + 10) = (x + 2)(x + 7)

Reorder the terms:
X(10 + x) = (x + 2)(x + 7)
(10 * X + x * X) = (x + 2)(x + 7)
(10X + xX) = (x + 2)(x + 7)

Reorder the terms:
10X + xX = (2 + x)(x + 7)

Reorder the terms:
10X + xX = (2 + x)(7 + x)

Multiply (2 + x) * (7 + x)
10X + xX = (2(7 + x) + x(7 + x))
10X + xX = ((7 * 2 + x * 2) + x(7 + x))
10X + xX = ((14 + 2x) + x(7 + x))
10X + xX = (14 + 2x + (7 * x + x * x))
10X + xX = (14 + 2x + (7x + x2))

Combine like terms: 2x + 7x = 9x
10X + xX = (14 + 9x + x2)

Solving
10X + xX = 14 + 9x + x2

Solving for variable 'X'.

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

Reorder the terms:
-14 + 10X + -9x + xX + -1x2 = 14 + 9x + x2 + -14 + -9x + -1x2

Reorder the terms:
-14 + 10X + -9x + xX + -1x2 = 14 + -14 + 9x + -9x + x2 + -1x2

Combine like terms: 14 + -14 = 0
-14 + 10X + -9x + xX + -1x2 = 0 + 9x + -9x + x2 + -1x2
-14 + 10X + -9x + xX + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
-14 + 10X + -9x + xX + -1x2 = 0 + x2 + -1x2
-14 + 10X + -9x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + 10X + -9x + xX + -1x2 = 0

The solution to this equation could not be determined.

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