X(15+x)+114=(17+x)(x+2)

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Solution for X(15+x)+114=(17+x)(x+2) equation:


Simplifying
X(15 + x) + 114 = (17 + x)(x + 2)
(15 * X + x * X) + 114 = (17 + x)(x + 2)
(15X + xX) + 114 = (17 + x)(x + 2)

Reorder the terms:
114 + 15X + xX = (17 + x)(x + 2)

Reorder the terms:
114 + 15X + xX = (17 + x)(2 + x)

Multiply (17 + x) * (2 + x)
114 + 15X + xX = (17(2 + x) + x(2 + x))
114 + 15X + xX = ((2 * 17 + x * 17) + x(2 + x))
114 + 15X + xX = ((34 + 17x) + x(2 + x))
114 + 15X + xX = (34 + 17x + (2 * x + x * x))
114 + 15X + xX = (34 + 17x + (2x + x2))

Combine like terms: 17x + 2x = 19x
114 + 15X + xX = (34 + 19x + x2)

Solving
114 + 15X + xX = 34 + 19x + x2

Solving for variable 'X'.

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

Add '-114' to each side of the equation.
114 + 15X + -114 + xX = 34 + 19x + -114 + x2

Reorder the terms:
114 + -114 + 15X + xX = 34 + 19x + -114 + x2

Combine like terms: 114 + -114 = 0
0 + 15X + xX = 34 + 19x + -114 + x2
15X + xX = 34 + 19x + -114 + x2

Reorder the terms:
15X + xX = 34 + -114 + 19x + x2

Combine like terms: 34 + -114 = -80
15X + xX = -80 + 19x + x2

Reorder the terms:
80 + 15X + -19x + xX + -1x2 = -80 + 19x + x2 + 80 + -19x + -1x2

Reorder the terms:
80 + 15X + -19x + xX + -1x2 = -80 + 80 + 19x + -19x + x2 + -1x2

Combine like terms: -80 + 80 = 0
80 + 15X + -19x + xX + -1x2 = 0 + 19x + -19x + x2 + -1x2
80 + 15X + -19x + xX + -1x2 = 19x + -19x + x2 + -1x2

Combine like terms: 19x + -19x = 0
80 + 15X + -19x + xX + -1x2 = 0 + x2 + -1x2
80 + 15X + -19x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
80 + 15X + -19x + xX + -1x2 = 0

The solution to this equation could not be determined.

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