(3x^2-2)(2x+4)-2x^2+6x+7=x

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Solution for (3x^2-2)(2x+4)-2x^2+6x+7=x equation:


Simplifying
(3x2 + -2)(2x + 4) + -2x2 + 6x + 7 = x

Reorder the terms:
(-2 + 3x2)(2x + 4) + -2x2 + 6x + 7 = x

Reorder the terms:
(-2 + 3x2)(4 + 2x) + -2x2 + 6x + 7 = x

Multiply (-2 + 3x2) * (4 + 2x)
(-2(4 + 2x) + 3x2 * (4 + 2x)) + -2x2 + 6x + 7 = x
((4 * -2 + 2x * -2) + 3x2 * (4 + 2x)) + -2x2 + 6x + 7 = x
((-8 + -4x) + 3x2 * (4 + 2x)) + -2x2 + 6x + 7 = x
(-8 + -4x + (4 * 3x2 + 2x * 3x2)) + -2x2 + 6x + 7 = x
(-8 + -4x + (12x2 + 6x3)) + -2x2 + 6x + 7 = x
(-8 + -4x + 12x2 + 6x3) + -2x2 + 6x + 7 = x

Reorder the terms:
-8 + 7 + -4x + 6x + 12x2 + -2x2 + 6x3 = x

Combine like terms: -8 + 7 = -1
-1 + -4x + 6x + 12x2 + -2x2 + 6x3 = x

Combine like terms: -4x + 6x = 2x
-1 + 2x + 12x2 + -2x2 + 6x3 = x

Combine like terms: 12x2 + -2x2 = 10x2
-1 + 2x + 10x2 + 6x3 = x

Solving
-1 + 2x + 10x2 + 6x3 = x

Solving for variable 'x'.

Reorder the terms:
-1 + 2x + -1x + 10x2 + 6x3 = x + -1x

Combine like terms: 2x + -1x = 1x
-1 + 1x + 10x2 + 6x3 = x + -1x

Combine like terms: x + -1x = 0
-1 + 1x + 10x2 + 6x3 = 0

The solution to this equation could not be determined.

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