X^2+14x+20=(x+a)+b

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Solution for X^2+14x+20=(x+a)+b equation:


Simplifying
X2 + 14x + 20 = (x + a) + b

Reorder the terms:
20 + X2 + 14x = (x + a) + b

Reorder the terms:
20 + X2 + 14x = (a + x) + b

Remove parenthesis around (a + x)
20 + X2 + 14x = a + x + b

Reorder the terms:
20 + X2 + 14x = a + b + x

Solving
20 + X2 + 14x = a + b + x

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X2 + -20 + 14x = a + b + -20 + x

Reorder the terms:
20 + -20 + X2 + 14x = a + b + -20 + x

Combine like terms: 20 + -20 = 0
0 + X2 + 14x = a + b + -20 + x
X2 + 14x = a + b + -20 + x

Reorder the terms:
X2 + 14x = -20 + a + b + x

Add '-14x' to each side of the equation.
X2 + 14x + -14x = -20 + a + b + x + -14x

Combine like terms: 14x + -14x = 0
X2 + 0 = -20 + a + b + x + -14x
X2 = -20 + a + b + x + -14x

Combine like terms: x + -14x = -13x
X2 = -20 + a + b + -13x

Simplifying
X2 = -20 + a + b + -13x

Reorder the terms:
20 + X2 + -1a + -1b + 13x = -20 + a + b + -13x + 20 + -1a + -1b + 13x

Reorder the terms:
20 + X2 + -1a + -1b + 13x = -20 + 20 + a + -1a + b + -1b + -13x + 13x

Combine like terms: -20 + 20 = 0
20 + X2 + -1a + -1b + 13x = 0 + a + -1a + b + -1b + -13x + 13x
20 + X2 + -1a + -1b + 13x = a + -1a + b + -1b + -13x + 13x

Combine like terms: a + -1a = 0
20 + X2 + -1a + -1b + 13x = 0 + b + -1b + -13x + 13x
20 + X2 + -1a + -1b + 13x = b + -1b + -13x + 13x

Combine like terms: b + -1b = 0
20 + X2 + -1a + -1b + 13x = 0 + -13x + 13x
20 + X2 + -1a + -1b + 13x = -13x + 13x

Combine like terms: -13x + 13x = 0
20 + X2 + -1a + -1b + 13x = 0

The solution to this equation could not be determined.

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