(9x-1)(x+7)-4x(x+3)(7-3x)=0

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Solution for (9x-1)(x+7)-4x(x+3)(7-3x)=0 equation: 


Simplifying
(9x + -1)(x + 7) + -4x(x + 3)(7 + -3x) = 0

Reorder the terms:
(-1 + 9x)(x + 7) + -4x(x + 3)(7 + -3x) = 0

Reorder the terms:
(-1 + 9x)(7 + x) + -4x(x + 3)(7 + -3x) = 0

Multiply (-1 + 9x) * (7 + x)
(-1(7 + x) + 9x * (7 + x)) + -4x(x + 3)(7 + -3x) = 0
((7 * -1 + x * -1) + 9x * (7 + x)) + -4x(x + 3)(7 + -3x) = 0
((-7 + -1x) + 9x * (7 + x)) + -4x(x + 3)(7 + -3x) = 0
(-7 + -1x + (7 * 9x + x * 9x)) + -4x(x + 3)(7 + -3x) = 0
(-7 + -1x + (63x + 9x2)) + -4x(x + 3)(7 + -3x) = 0

Combine like terms: -1x + 63x = 62x
(-7 + 62x + 9x2) + -4x(x + 3)(7 + -3x) = 0

Reorder the terms:
-7 + 62x + 9x2 + -4x(3 + x)(7 + -3x) = 0

Multiply (3 + x) * (7 + -3x)
-7 + 62x + 9x2 + -4x(3(7 + -3x) + x(7 + -3x)) = 0
-7 + 62x + 9x2 + -4x((7 * 3 + -3x * 3) + x(7 + -3x)) = 0
-7 + 62x + 9x2 + -4x((21 + -9x) + x(7 + -3x)) = 0
-7 + 62x + 9x2 + -4x(21 + -9x + (7 * x + -3x * x)) = 0
-7 + 62x + 9x2 + -4x(21 + -9x + (7x + -3x2)) = 0

Combine like terms: -9x + 7x = -2x
-7 + 62x + 9x2 + -4x(21 + -2x + -3x2) = 0
-7 + 62x + 9x2 + (21 * -4x + -2x * -4x + -3x2 * -4x) = 0
-7 + 62x + 9x2 + (-84x + 8x2 + 12x3) = 0

Reorder the terms:
-7 + 62x + -84x + 9x2 + 8x2 + 12x3 = 0

Combine like terms: 62x + -84x = -22x
-7 + -22x + 9x2 + 8x2 + 12x3 = 0

Combine like terms: 9x2 + 8x2 = 17x2
-7 + -22x + 17x2 + 12x3 = 0

Solving
-7 + -22x + 17x2 + 12x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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