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

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


Simplifying
0 = (2x + -3)(x2 + -5x + 1)

Reorder the terms:
0 = (-3 + 2x)(x2 + -5x + 1)

Reorder the terms:
0 = (-3 + 2x)(1 + -5x + x2)

Multiply (-3 + 2x) * (1 + -5x + x2)
0 = (-3(1 + -5x + x2) + 2x * (1 + -5x + x2))
0 = ((1 * -3 + -5x * -3 + x2 * -3) + 2x * (1 + -5x + x2))
0 = ((-3 + 15x + -3x2) + 2x * (1 + -5x + x2))
0 = (-3 + 15x + -3x2 + (1 * 2x + -5x * 2x + x2 * 2x))
0 = (-3 + 15x + -3x2 + (2x + -10x2 + 2x3))

Reorder the terms:
0 = (-3 + 15x + 2x + -3x2 + -10x2 + 2x3)

Combine like terms: 15x + 2x = 17x
0 = (-3 + 17x + -3x2 + -10x2 + 2x3)

Combine like terms: -3x2 + -10x2 = -13x2
0 = (-3 + 17x + -13x2 + 2x3)

Solving
0 = -3 + 17x + -13x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + 3 = 3
3 + -17x + 13x2 + -2x3 = -3 + 17x + -13x2 + 2x3 + 3 + -17x + 13x2 + -2x3

Reorder the terms:
3 + -17x + 13x2 + -2x3 = -3 + 3 + 17x + -17x + -13x2 + 13x2 + 2x3 + -2x3

Combine like terms: -3 + 3 = 0
3 + -17x + 13x2 + -2x3 = 0 + 17x + -17x + -13x2 + 13x2 + 2x3 + -2x3
3 + -17x + 13x2 + -2x3 = 17x + -17x + -13x2 + 13x2 + 2x3 + -2x3

Combine like terms: 17x + -17x = 0
3 + -17x + 13x2 + -2x3 = 0 + -13x2 + 13x2 + 2x3 + -2x3
3 + -17x + 13x2 + -2x3 = -13x2 + 13x2 + 2x3 + -2x3

Combine like terms: -13x2 + 13x2 = 0
3 + -17x + 13x2 + -2x3 = 0 + 2x3 + -2x3
3 + -17x + 13x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
3 + -17x + 13x2 + -2x3 = 0

The solution to this equation could not be determined.

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