x^2+14x+27-42=(x-1)(x+15)

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Solution for x^2+14x+27-42=(x-1)(x+15) equation: 


Simplifying
x2 + 14x + 27 + -42 = (x + -1)(x + 15)

Reorder the terms:
27 + -42 + 14x + x2 = (x + -1)(x + 15)

Combine like terms: 27 + -42 = -15
-15 + 14x + x2 = (x + -1)(x + 15)

Reorder the terms:
-15 + 14x + x2 = (-1 + x)(x + 15)

Reorder the terms:
-15 + 14x + x2 = (-1 + x)(15 + x)

Multiply (-1 + x) * (15 + x)
-15 + 14x + x2 = (-1(15 + x) + x(15 + x))
-15 + 14x + x2 = ((15 * -1 + x * -1) + x(15 + x))
-15 + 14x + x2 = ((-15 + -1x) + x(15 + x))
-15 + 14x + x2 = (-15 + -1x + (15 * x + x * x))
-15 + 14x + x2 = (-15 + -1x + (15x + x2))

Combine like terms: -1x + 15x = 14x
-15 + 14x + x2 = (-15 + 14x + x2)

Add '15' to each side of the equation.
-15 + 14x + 15 + x2 = -15 + 14x + 15 + x2

Reorder the terms:
-15 + 15 + 14x + x2 = -15 + 14x + 15 + x2

Combine like terms: -15 + 15 = 0
0 + 14x + x2 = -15 + 14x + 15 + x2
14x + x2 = -15 + 14x + 15 + x2

Reorder the terms:
14x + x2 = -15 + 15 + 14x + x2

Combine like terms: -15 + 15 = 0
14x + x2 = 0 + 14x + x2
14x + x2 = 14x + x2

Add '-14x' to each side of the equation.
14x + -14x + x2 = 14x + -14x + x2

Combine like terms: 14x + -14x = 0
0 + x2 = 14x + -14x + x2
x2 = 14x + -14x + x2

Combine like terms: 14x + -14x = 0
x2 = 0 + x2
x2 = x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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