36x^2-18x-27=(x+3)(X-5)

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Solution for 36x^2-18x-27=(x+3)(X-5) equation: 


Simplifying
36x2 + -18x + -27 = (x + 3)(X + -5)

Reorder the terms:
-27 + -18x + 36x2 = (x + 3)(X + -5)

Reorder the terms:
-27 + -18x + 36x2 = (3 + x)(X + -5)

Reorder the terms:
-27 + -18x + 36x2 = (3 + x)(-5 + X)

Multiply (3 + x) * (-5 + X)
-27 + -18x + 36x2 = (3(-5 + X) + x(-5 + X))
-27 + -18x + 36x2 = ((-5 * 3 + X * 3) + x(-5 + X))
-27 + -18x + 36x2 = ((-15 + 3X) + x(-5 + X))
-27 + -18x + 36x2 = (-15 + 3X + (-5 * x + X * x))
-27 + -18x + 36x2 = (-15 + 3X + (-5x + xX))
-27 + -18x + 36x2 = (-15 + 3X + -5x + xX)

Solving
-27 + -18x + 36x2 = -15 + 3X + -5x + xX

Solving for variable 'x'.

Reorder the terms:
-27 + 15 + -3X + -18x + 5x + -1xX + 36x2 = -15 + 3X + -5x + xX + 15 + -3X + 5x + -1xX

Combine like terms: -27 + 15 = -12
-12 + -3X + -18x + 5x + -1xX + 36x2 = -15 + 3X + -5x + xX + 15 + -3X + 5x + -1xX

Combine like terms: -18x + 5x = -13x
-12 + -3X + -13x + -1xX + 36x2 = -15 + 3X + -5x + xX + 15 + -3X + 5x + -1xX

Reorder the terms:
-12 + -3X + -13x + -1xX + 36x2 = -15 + 15 + 3X + -3X + -5x + 5x + xX + -1xX

Combine like terms: -15 + 15 = 0
-12 + -3X + -13x + -1xX + 36x2 = 0 + 3X + -3X + -5x + 5x + xX + -1xX
-12 + -3X + -13x + -1xX + 36x2 = 3X + -3X + -5x + 5x + xX + -1xX

Combine like terms: 3X + -3X = 0
-12 + -3X + -13x + -1xX + 36x2 = 0 + -5x + 5x + xX + -1xX
-12 + -3X + -13x + -1xX + 36x2 = -5x + 5x + xX + -1xX

Combine like terms: -5x + 5x = 0
-12 + -3X + -13x + -1xX + 36x2 = 0 + xX + -1xX
-12 + -3X + -13x + -1xX + 36x2 = xX + -1xX

Combine like terms: xX + -1xX = 0
-12 + -3X + -13x + -1xX + 36x2 = 0

The solution to this equation could not be determined.

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