3x(x-1)-2(x-3)(x-5)=x^2-2x+1

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Solution for 3x(x-1)-2(x-3)(x-5)=x^2-2x+1 equation: 


Simplifying
3x(x + -1) + -2(x + -3)(x + -5) = x2 + -2x + 1

Reorder the terms:
3x(-1 + x) + -2(x + -3)(x + -5) = x2 + -2x + 1
(-1 * 3x + x * 3x) + -2(x + -3)(x + -5) = x2 + -2x + 1
(-3x + 3x2) + -2(x + -3)(x + -5) = x2 + -2x + 1

Reorder the terms:
-3x + 3x2 + -2(-3 + x)(x + -5) = x2 + -2x + 1

Reorder the terms:
-3x + 3x2 + -2(-3 + x)(-5 + x) = x2 + -2x + 1

Multiply (-3 + x) * (-5 + x)
-3x + 3x2 + -2(-3(-5 + x) + x(-5 + x)) = x2 + -2x + 1
-3x + 3x2 + -2((-5 * -3 + x * -3) + x(-5 + x)) = x2 + -2x + 1
-3x + 3x2 + -2((15 + -3x) + x(-5 + x)) = x2 + -2x + 1
-3x + 3x2 + -2(15 + -3x + (-5 * x + x * x)) = x2 + -2x + 1
-3x + 3x2 + -2(15 + -3x + (-5x + x2)) = x2 + -2x + 1

Combine like terms: -3x + -5x = -8x
-3x + 3x2 + -2(15 + -8x + x2) = x2 + -2x + 1
-3x + 3x2 + (15 * -2 + -8x * -2 + x2 * -2) = x2 + -2x + 1
-3x + 3x2 + (-30 + 16x + -2x2) = x2 + -2x + 1

Reorder the terms:
-30 + -3x + 16x + 3x2 + -2x2 = x2 + -2x + 1

Combine like terms: -3x + 16x = 13x
-30 + 13x + 3x2 + -2x2 = x2 + -2x + 1

Combine like terms: 3x2 + -2x2 = 1x2
-30 + 13x + 1x2 = x2 + -2x + 1

Reorder the terms:
-30 + 13x + 1x2 = 1 + -2x + x2

Solving
-30 + 13x + 1x2 = 1 + -2x + x2

Solving for variable 'x'.

Reorder the terms:
-30 + -1 + 13x + 2x + 1x2 + -1x2 = 1 + -2x + x2 + -1 + 2x + -1x2

Combine like terms: -30 + -1 = -31
-31 + 13x + 2x + 1x2 + -1x2 = 1 + -2x + x2 + -1 + 2x + -1x2

Combine like terms: 13x + 2x = 15x
-31 + 15x + 1x2 + -1x2 = 1 + -2x + x2 + -1 + 2x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-31 + 15x + 0 = 1 + -2x + x2 + -1 + 2x + -1x2
-31 + 15x = 1 + -2x + x2 + -1 + 2x + -1x2

Reorder the terms:
-31 + 15x = 1 + -1 + -2x + 2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-31 + 15x = 0 + -2x + 2x + x2 + -1x2
-31 + 15x = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-31 + 15x = 0 + x2 + -1x2
-31 + 15x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-31 + 15x = 0

The solution to this equation could not be determined.

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