X^2-8x+15=(x-5)(x+3)

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Solution for X^2-8x+15=(x-5)(x+3) equation: 


Simplifying
X2 + -8x + 15 = (x + -5)(x + 3)

Reorder the terms:
15 + X2 + -8x = (x + -5)(x + 3)

Reorder the terms:
15 + X2 + -8x = (-5 + x)(x + 3)

Reorder the terms:
15 + X2 + -8x = (-5 + x)(3 + x)

Multiply (-5 + x) * (3 + x)
15 + X2 + -8x = (-5(3 + x) + x(3 + x))
15 + X2 + -8x = ((3 * -5 + x * -5) + x(3 + x))
15 + X2 + -8x = ((-15 + -5x) + x(3 + x))
15 + X2 + -8x = (-15 + -5x + (3 * x + x * x))
15 + X2 + -8x = (-15 + -5x + (3x + x2))

Combine like terms: -5x + 3x = -2x
15 + X2 + -8x = (-15 + -2x + x2)

Solving
15 + X2 + -8x = -15 + -2x + x2

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + X2 + -15 + -8x = -15 + -2x + -15 + x2

Reorder the terms:
15 + -15 + X2 + -8x = -15 + -2x + -15 + x2

Combine like terms: 15 + -15 = 0
0 + X2 + -8x = -15 + -2x + -15 + x2
X2 + -8x = -15 + -2x + -15 + x2

Reorder the terms:
X2 + -8x = -15 + -15 + -2x + x2

Combine like terms: -15 + -15 = -30
X2 + -8x = -30 + -2x + x2

Add '8x' to each side of the equation.
X2 + -8x + 8x = -30 + -2x + 8x + x2

Combine like terms: -8x + 8x = 0
X2 + 0 = -30 + -2x + 8x + x2
X2 = -30 + -2x + 8x + x2

Combine like terms: -2x + 8x = 6x
X2 = -30 + 6x + x2

Simplifying
X2 = -30 + 6x + x2

Reorder the terms:
30 + X2 + -6x + -1x2 = -30 + 6x + x2 + 30 + -6x + -1x2

Reorder the terms:
30 + X2 + -6x + -1x2 = -30 + 30 + 6x + -6x + x2 + -1x2

Combine like terms: -30 + 30 = 0
30 + X2 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
30 + X2 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
30 + X2 + -6x + -1x2 = 0 + x2 + -1x2
30 + X2 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + X2 + -6x + -1x2 = 0

The solution to this equation could not be determined.

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