5*abs(8x-x^2)-9x^2=(10-3x)*(10+3x)-21x+2

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Solution for 5*abs(8x-x^2)-9x^2=(10-3x)*(10+3x)-21x+2 equation: 


Simplifying
5abs(8x + -1x2) + -9x2 = (10 + -3x)(10 + 3x) + -21x + 2
(8x * 5abs + -1x2 * 5abs) + -9x2 = (10 + -3x)(10 + 3x) + -21x + 2
(40absx + -5absx2) + -9x2 = (10 + -3x)(10 + 3x) + -21x + 2

Multiply (10 + -3x) * (10 + 3x)
40absx + -5absx2 + -9x2 = (10(10 + 3x) + -3x * (10 + 3x)) + -21x + 2
40absx + -5absx2 + -9x2 = ((10 * 10 + 3x * 10) + -3x * (10 + 3x)) + -21x + 2
40absx + -5absx2 + -9x2 = ((100 + 30x) + -3x * (10 + 3x)) + -21x + 2
40absx + -5absx2 + -9x2 = (100 + 30x + (10 * -3x + 3x * -3x)) + -21x + 2
40absx + -5absx2 + -9x2 = (100 + 30x + (-30x + -9x2)) + -21x + 2

Combine like terms: 30x + -30x = 0
40absx + -5absx2 + -9x2 = (100 + 0 + -9x2) + -21x + 2
40absx + -5absx2 + -9x2 = (100 + -9x2) + -21x + 2

Reorder the terms:
40absx + -5absx2 + -9x2 = 100 + 2 + -21x + -9x2

Combine like terms: 100 + 2 = 102
40absx + -5absx2 + -9x2 = 102 + -21x + -9x2

Add '9x2' to each side of the equation.
40absx + -5absx2 + -9x2 + 9x2 = 102 + -21x + -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
40absx + -5absx2 + 0 = 102 + -21x + -9x2 + 9x2
40absx + -5absx2 = 102 + -21x + -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
40absx + -5absx2 = 102 + -21x + 0
40absx + -5absx2 = 102 + -21x

Solving
40absx + -5absx2 = 102 + -21x

Solving for variable 'a'.

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

Reorder the terms:
-102 + 40absx + -5absx2 + 21x = 102 + -21x + -102 + 21x

Reorder the terms:
-102 + 40absx + -5absx2 + 21x = 102 + -102 + -21x + 21x

Combine like terms: 102 + -102 = 0
-102 + 40absx + -5absx2 + 21x = 0 + -21x + 21x
-102 + 40absx + -5absx2 + 21x = -21x + 21x

Combine like terms: -21x + 21x = 0
-102 + 40absx + -5absx2 + 21x = 0

The solution to this equation could not be determined.

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