2x(x^2-7x+10)-(4x-20)=x-1(x^2-7x+10)

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Solution for 2x(x^2-7x+10)-(4x-20)=x-1(x^2-7x+10) equation: 


Simplifying
2x(x2 + -7x + 10) + -1(4x + -20) = x + -1(x2 + -7x + 10)

Reorder the terms:
2x(10 + -7x + x2) + -1(4x + -20) = x + -1(x2 + -7x + 10)
(10 * 2x + -7x * 2x + x2 * 2x) + -1(4x + -20) = x + -1(x2 + -7x + 10)
(20x + -14x2 + 2x3) + -1(4x + -20) = x + -1(x2 + -7x + 10)

Reorder the terms:
20x + -14x2 + 2x3 + -1(-20 + 4x) = x + -1(x2 + -7x + 10)
20x + -14x2 + 2x3 + (-20 * -1 + 4x * -1) = x + -1(x2 + -7x + 10)
20x + -14x2 + 2x3 + (20 + -4x) = x + -1(x2 + -7x + 10)

Reorder the terms:
20 + 20x + -4x + -14x2 + 2x3 = x + -1(x2 + -7x + 10)

Combine like terms: 20x + -4x = 16x
20 + 16x + -14x2 + 2x3 = x + -1(x2 + -7x + 10)

Reorder the terms:
20 + 16x + -14x2 + 2x3 = x + -1(10 + -7x + x2)
20 + 16x + -14x2 + 2x3 = x + (10 * -1 + -7x * -1 + x2 * -1)
20 + 16x + -14x2 + 2x3 = x + (-10 + 7x + -1x2)

Reorder the terms:
20 + 16x + -14x2 + 2x3 = -10 + x + 7x + -1x2

Combine like terms: x + 7x = 8x
20 + 16x + -14x2 + 2x3 = -10 + 8x + -1x2

Solving
20 + 16x + -14x2 + 2x3 = -10 + 8x + -1x2

Solving for variable 'x'.

Reorder the terms:
20 + 10 + 16x + -8x + -14x2 + x2 + 2x3 = -10 + 8x + -1x2 + 10 + -8x + x2

Combine like terms: 20 + 10 = 30
30 + 16x + -8x + -14x2 + x2 + 2x3 = -10 + 8x + -1x2 + 10 + -8x + x2

Combine like terms: 16x + -8x = 8x
30 + 8x + -14x2 + x2 + 2x3 = -10 + 8x + -1x2 + 10 + -8x + x2

Combine like terms: -14x2 + x2 = -13x2
30 + 8x + -13x2 + 2x3 = -10 + 8x + -1x2 + 10 + -8x + x2

Reorder the terms:
30 + 8x + -13x2 + 2x3 = -10 + 10 + 8x + -8x + -1x2 + x2

Combine like terms: -10 + 10 = 0
30 + 8x + -13x2 + 2x3 = 0 + 8x + -8x + -1x2 + x2
30 + 8x + -13x2 + 2x3 = 8x + -8x + -1x2 + x2

Combine like terms: 8x + -8x = 0
30 + 8x + -13x2 + 2x3 = 0 + -1x2 + x2
30 + 8x + -13x2 + 2x3 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
30 + 8x + -13x2 + 2x3 = 0

The solution to this equation could not be determined.

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