(Ax^2-bx-8)+(6x^2-5x+4)=9x^2-7x-4

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Solution for (Ax^2-bx-8)+(6x^2-5x+4)=9x^2-7x-4 equation: 


Simplifying
(Ax2 + -1bx + -8) + (6x2 + -5x + 4) = 9x2 + -7x + -4

Reorder the terms:
(-8 + -1bx + x2A) + (6x2 + -5x + 4) = 9x2 + -7x + -4

Remove parenthesis around (-8 + -1bx + x2A)
-8 + -1bx + x2A + (6x2 + -5x + 4) = 9x2 + -7x + -4

Reorder the terms:
-8 + -1bx + x2A + (4 + -5x + 6x2) = 9x2 + -7x + -4

Remove parenthesis around (4 + -5x + 6x2)
-8 + -1bx + x2A + 4 + -5x + 6x2 = 9x2 + -7x + -4

Reorder the terms:
-8 + 4 + -1bx + -5x + 6x2 + x2A = 9x2 + -7x + -4

Combine like terms: -8 + 4 = -4
-4 + -1bx + -5x + 6x2 + x2A = 9x2 + -7x + -4

Reorder the terms:
-4 + -1bx + -5x + 6x2 + x2A = -4 + -7x + 9x2

Add '4' to each side of the equation.
-4 + -1bx + -5x + 6x2 + 4 + x2A = -4 + -7x + 4 + 9x2

Reorder the terms:
-4 + 4 + -1bx + -5x + 6x2 + x2A = -4 + -7x + 4 + 9x2

Combine like terms: -4 + 4 = 0
0 + -1bx + -5x + 6x2 + x2A = -4 + -7x + 4 + 9x2
-1bx + -5x + 6x2 + x2A = -4 + -7x + 4 + 9x2

Reorder the terms:
-1bx + -5x + 6x2 + x2A = -4 + 4 + -7x + 9x2

Combine like terms: -4 + 4 = 0
-1bx + -5x + 6x2 + x2A = 0 + -7x + 9x2
-1bx + -5x + 6x2 + x2A = -7x + 9x2

Solving
-1bx + -5x + 6x2 + x2A = -7x + 9x2

Solving for variable 'b'.

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

Add '5x' to each side of the equation.
-1bx + -5x + 6x2 + 5x + x2A = -7x + 5x + 9x2

Reorder the terms:
-1bx + -5x + 5x + 6x2 + x2A = -7x + 5x + 9x2

Combine like terms: -5x + 5x = 0
-1bx + 0 + 6x2 + x2A = -7x + 5x + 9x2
-1bx + 6x2 + x2A = -7x + 5x + 9x2

Combine like terms: -7x + 5x = -2x
-1bx + 6x2 + x2A = -2x + 9x2

Add '-6x2' to each side of the equation.
-1bx + 6x2 + -6x2 + x2A = -2x + 9x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1bx + 0 + x2A = -2x + 9x2 + -6x2
-1bx + x2A = -2x + 9x2 + -6x2

Combine like terms: 9x2 + -6x2 = 3x2
-1bx + x2A = -2x + 3x2

Add '-1x2A' to each side of the equation.
-1bx + x2A + -1x2A = -2x + 3x2 + -1x2A

Combine like terms: x2A + -1x2A = 0
-1bx + 0 = -2x + 3x2 + -1x2A
-1bx = -2x + 3x2 + -1x2A

Divide each side by '-1x'.
b = 2 + -3x + xA

Simplifying
b = 2 + -3x + xA

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