abs(5x^2+3x-1)-2x=1

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Solution for abs(5x^2+3x-1)-2x=1 equation:


Simplifying
abs(5x2 + 3x + -1) + -2x = 1

Reorder the terms:
abs(-1 + 3x + 5x2) + -2x = 1
(-1 * abs + 3x * abs + 5x2 * abs) + -2x = 1
(-1abs + 3absx + 5absx2) + -2x = 1

Solving
-1abs + 3absx + 5absx2 + -2x = 1

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '2x' to each side of the equation.
-1abs + 3absx + 5absx2 + -2x + 2x = 1 + 2x

Combine like terms: -2x + 2x = 0
-1abs + 3absx + 5absx2 + 0 = 1 + 2x
-1abs + 3absx + 5absx2 = 1 + 2x

Reorder the terms:
-1 + -1abs + 3absx + 5absx2 + -2x = 1 + 2x + -1 + -2x

Reorder the terms:
-1 + -1abs + 3absx + 5absx2 + -2x = 1 + -1 + 2x + -2x

Combine like terms: 1 + -1 = 0
-1 + -1abs + 3absx + 5absx2 + -2x = 0 + 2x + -2x
-1 + -1abs + 3absx + 5absx2 + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + -1abs + 3absx + 5absx2 + -2x = 0

The solution to this equation could not be determined.

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