2x(x-2)=7+6x^2(x-2)

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Solution for 2x(x-2)=7+6x^2(x-2) equation: 


Simplifying
2x(x + -2) = 7 + 6x2(x + -2)

Reorder the terms:
2x(-2 + x) = 7 + 6x2(x + -2)
(-2 * 2x + x * 2x) = 7 + 6x2(x + -2)
(-4x + 2x2) = 7 + 6x2(x + -2)

Reorder the terms:
-4x + 2x2 = 7 + 6x2(-2 + x)
-4x + 2x2 = 7 + (-2 * 6x2 + x * 6x2)
-4x + 2x2 = 7 + (-12x2 + 6x3)

Solving
-4x + 2x2 = 7 + -12x2 + 6x3

Solving for variable 'x'.

Reorder the terms:
-7 + -4x + 2x2 + 12x2 + -6x3 = 7 + -12x2 + 6x3 + -7 + 12x2 + -6x3

Combine like terms: 2x2 + 12x2 = 14x2
-7 + -4x + 14x2 + -6x3 = 7 + -12x2 + 6x3 + -7 + 12x2 + -6x3

Reorder the terms:
-7 + -4x + 14x2 + -6x3 = 7 + -7 + -12x2 + 12x2 + 6x3 + -6x3

Combine like terms: 7 + -7 = 0
-7 + -4x + 14x2 + -6x3 = 0 + -12x2 + 12x2 + 6x3 + -6x3
-7 + -4x + 14x2 + -6x3 = -12x2 + 12x2 + 6x3 + -6x3

Combine like terms: -12x2 + 12x2 = 0
-7 + -4x + 14x2 + -6x3 = 0 + 6x3 + -6x3
-7 + -4x + 14x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-7 + -4x + 14x2 + -6x3 = 0

The solution to this equation could not be determined.

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