3x^2(x+2)+x=2x(x+10)+5(x-10)-27

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Solution for 3x^2(x+2)+x=2x(x+10)+5(x-10)-27 equation: 


Simplifying
3x2(x + 2) + x = 2x(x + 10) + 5(x + -10) + -27

Reorder the terms:
3x2(2 + x) + x = 2x(x + 10) + 5(x + -10) + -27
(2 * 3x2 + x * 3x2) + x = 2x(x + 10) + 5(x + -10) + -27
(6x2 + 3x3) + x = 2x(x + 10) + 5(x + -10) + -27

Reorder the terms:
x + 6x2 + 3x3 = 2x(x + 10) + 5(x + -10) + -27

Reorder the terms:
x + 6x2 + 3x3 = 2x(10 + x) + 5(x + -10) + -27
x + 6x2 + 3x3 = (10 * 2x + x * 2x) + 5(x + -10) + -27
x + 6x2 + 3x3 = (20x + 2x2) + 5(x + -10) + -27

Reorder the terms:
x + 6x2 + 3x3 = 20x + 2x2 + 5(-10 + x) + -27
x + 6x2 + 3x3 = 20x + 2x2 + (-10 * 5 + x * 5) + -27
x + 6x2 + 3x3 = 20x + 2x2 + (-50 + 5x) + -27

Reorder the terms:
x + 6x2 + 3x3 = -50 + -27 + 20x + 5x + 2x2

Combine like terms: -50 + -27 = -77
x + 6x2 + 3x3 = -77 + 20x + 5x + 2x2

Combine like terms: 20x + 5x = 25x
x + 6x2 + 3x3 = -77 + 25x + 2x2

Solving
x + 6x2 + 3x3 = -77 + 25x + 2x2

Solving for variable 'x'.

Reorder the terms:
77 + x + -25x + 6x2 + -2x2 + 3x3 = -77 + 25x + 2x2 + 77 + -25x + -2x2

Combine like terms: x + -25x = -24x
77 + -24x + 6x2 + -2x2 + 3x3 = -77 + 25x + 2x2 + 77 + -25x + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
77 + -24x + 4x2 + 3x3 = -77 + 25x + 2x2 + 77 + -25x + -2x2

Reorder the terms:
77 + -24x + 4x2 + 3x3 = -77 + 77 + 25x + -25x + 2x2 + -2x2

Combine like terms: -77 + 77 = 0
77 + -24x + 4x2 + 3x3 = 0 + 25x + -25x + 2x2 + -2x2
77 + -24x + 4x2 + 3x3 = 25x + -25x + 2x2 + -2x2

Combine like terms: 25x + -25x = 0
77 + -24x + 4x2 + 3x3 = 0 + 2x2 + -2x2
77 + -24x + 4x2 + 3x3 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
77 + -24x + 4x2 + 3x3 = 0

The solution to this equation could not be determined.

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