abs(3x^2+2x)=x*abs(3x+2)

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Solution for abs(3x^2+2x)=x*abs(3x+2) equation:


Simplifying
abs(3x2 + 2x) = x * abs(3x + 2)

Reorder the terms:
abs(2x + 3x2) = x * abs(3x + 2)
(2x * abs + 3x2 * abs) = x * abs(3x + 2)
(2absx + 3absx2) = x * abs(3x + 2)

Reorder the terms:
2absx + 3absx2 = x * abs(2 + 3x)

Multiply x * abs
2absx + 3absx2 = absx(2 + 3x)
2absx + 3absx2 = (2 * absx + 3x * absx)
2absx + 3absx2 = (2absx + 3absx2)

Add '-2absx' to each side of the equation.
2absx + -2absx + 3absx2 = 2absx + -2absx + 3absx2

Combine like terms: 2absx + -2absx = 0
0 + 3absx2 = 2absx + -2absx + 3absx2
3absx2 = 2absx + -2absx + 3absx2

Combine like terms: 2absx + -2absx = 0
3absx2 = 0 + 3absx2
3absx2 = 3absx2

Add '-3absx2' to each side of the equation.
3absx2 + -3absx2 = 3absx2 + -3absx2

Combine like terms: 3absx2 + -3absx2 = 0
0 = 3absx2 + -3absx2

Combine like terms: 3absx2 + -3absx2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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