(15-x)(3-x)=(x-2)(x+1)

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Solution for (15-x)(3-x)=(x-2)(x+1) equation:


Simplifying
(15 + -1x)(3 + -1x) = (x + -2)(x + 1)

Multiply (15 + -1x) * (3 + -1x)
(15(3 + -1x) + -1x * (3 + -1x)) = (x + -2)(x + 1)
((3 * 15 + -1x * 15) + -1x * (3 + -1x)) = (x + -2)(x + 1)
((45 + -15x) + -1x * (3 + -1x)) = (x + -2)(x + 1)
(45 + -15x + (3 * -1x + -1x * -1x)) = (x + -2)(x + 1)
(45 + -15x + (-3x + 1x2)) = (x + -2)(x + 1)

Combine like terms: -15x + -3x = -18x
(45 + -18x + 1x2) = (x + -2)(x + 1)

Reorder the terms:
45 + -18x + 1x2 = (-2 + x)(x + 1)

Reorder the terms:
45 + -18x + 1x2 = (-2 + x)(1 + x)

Multiply (-2 + x) * (1 + x)
45 + -18x + 1x2 = (-2(1 + x) + x(1 + x))
45 + -18x + 1x2 = ((1 * -2 + x * -2) + x(1 + x))
45 + -18x + 1x2 = ((-2 + -2x) + x(1 + x))
45 + -18x + 1x2 = (-2 + -2x + (1 * x + x * x))
45 + -18x + 1x2 = (-2 + -2x + (1x + x2))

Combine like terms: -2x + 1x = -1x
45 + -18x + 1x2 = (-2 + -1x + x2)

Solving
45 + -18x + 1x2 = -2 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
45 + 2 + -18x + x + 1x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: 45 + 2 = 47
47 + -18x + x + 1x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: -18x + x = -17x
47 + -17x + 1x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: 1x2 + -1x2 = 0
47 + -17x + 0 = -2 + -1x + x2 + 2 + x + -1x2
47 + -17x = -2 + -1x + x2 + 2 + x + -1x2

Reorder the terms:
47 + -17x = -2 + 2 + -1x + x + x2 + -1x2

Combine like terms: -2 + 2 = 0
47 + -17x = 0 + -1x + x + x2 + -1x2
47 + -17x = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
47 + -17x = 0 + x2 + -1x2
47 + -17x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
47 + -17x = 0

The solution to this equation could not be determined.

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