(6x^2+7y-142)(9x+13b)=

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Solution for (6x^2+7y-142)(9x+13b)= equation: 


Simplifying
(6x2 + 7y + -142)(9x + 13b) = 0

Reorder the terms:
(-142 + 6x2 + 7y)(9x + 13b) = 0

Reorder the terms:
(-142 + 6x2 + 7y)(13b + 9x) = 0

Multiply (-142 + 6x2 + 7y) * (13b + 9x)
(-142(13b + 9x) + 6x2 * (13b + 9x) + 7y * (13b + 9x)) = 0
((13b * -142 + 9x * -142) + 6x2 * (13b + 9x) + 7y * (13b + 9x)) = 0
((-1846b + -1278x) + 6x2 * (13b + 9x) + 7y * (13b + 9x)) = 0
(-1846b + -1278x + (13b * 6x2 + 9x * 6x2) + 7y * (13b + 9x)) = 0
(-1846b + -1278x + (78bx2 + 54x3) + 7y * (13b + 9x)) = 0
(-1846b + -1278x + 78bx2 + 54x3 + (13b * 7y + 9x * 7y)) = 0
(-1846b + -1278x + 78bx2 + 54x3 + (91by + 63xy)) = 0

Reorder the terms:
(-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3) = 0
(-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3) = 0

Solving
-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3 = 0

Solving for variable 'b'.

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

Add '1278x' to each side of the equation.
-1846b + 78bx2 + 91by + -1278x + 63xy + 1278x + 54x3 = 0 + 1278x

Reorder the terms:
-1846b + 78bx2 + 91by + -1278x + 1278x + 63xy + 54x3 = 0 + 1278x

Combine like terms: -1278x + 1278x = 0
-1846b + 78bx2 + 91by + 0 + 63xy + 54x3 = 0 + 1278x
-1846b + 78bx2 + 91by + 63xy + 54x3 = 0 + 1278x
Remove the zero:
-1846b + 78bx2 + 91by + 63xy + 54x3 = 1278x

Add '-63xy' to each side of the equation.
-1846b + 78bx2 + 91by + 63xy + -63xy + 54x3 = 1278x + -63xy

Combine like terms: 63xy + -63xy = 0
-1846b + 78bx2 + 91by + 0 + 54x3 = 1278x + -63xy
-1846b + 78bx2 + 91by + 54x3 = 1278x + -63xy

Add '-54x3' to each side of the equation.
-1846b + 78bx2 + 91by + 54x3 + -54x3 = 1278x + -63xy + -54x3

Combine like terms: 54x3 + -54x3 = 0
-1846b + 78bx2 + 91by + 0 = 1278x + -63xy + -54x3
-1846b + 78bx2 + 91by = 1278x + -63xy + -54x3

Reorder the terms:
-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3 = 1278x + -1278x + -63xy + 63xy + -54x3 + 54x3

Combine like terms: 1278x + -1278x = 0
-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3 = 0 + -63xy + 63xy + -54x3 + 54x3
-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3 = -63xy + 63xy + -54x3 + 54x3

Combine like terms: -63xy + 63xy = 0
-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3 = 0 + -54x3 + 54x3
-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3 = -54x3 + 54x3

Combine like terms: -54x3 + 54x3 = 0
-1846b + 78bx2 + 91by + -1278x + 63xy + 54x3 = 0

The solution to this equation could not be determined.

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