abs-x^2-3x+5abs=-4

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Solution for abs-x^2-3x+5abs=-4 equation: 


Simplifying
abs + -1x2 + -3x + 5abs = -4

Reorder the terms:
abs + 5abs + -3x + -1x2 = -4

Combine like terms: abs + 5abs = 6abs
6abs + -3x + -1x2 = -4

Solving
6abs + -3x + -1x2 = -4

Solving for variable 'a'.

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

Add '3x' to each side of the equation.
6abs + -3x + 3x + -1x2 = -4 + 3x

Combine like terms: -3x + 3x = 0
6abs + 0 + -1x2 = -4 + 3x
6abs + -1x2 = -4 + 3x

Add 'x2' to each side of the equation.
6abs + -1x2 + x2 = -4 + 3x + x2

Combine like terms: -1x2 + x2 = 0
6abs + 0 = -4 + 3x + x2
6abs = -4 + 3x + x2

Divide each side by '6bs'.
a = -0.6666666667b-1s-1 + 0.5b-1s-1x + 0.1666666667b-1s-1x2

Simplifying
a = -0.6666666667b-1s-1 + 0.5b-1s-1x + 0.1666666667b-1s-1x2

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