(7x^2+9x+8)(9x^3+7x)=0

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Solution for (7x^2+9x+8)(9x^3+7x)=0 equation:


Simplifying
(7x2 + 9x + 8)(9x3 + 7x) = 0

Reorder the terms:
(8 + 9x + 7x2)(9x3 + 7x) = 0

Reorder the terms:
(8 + 9x + 7x2)(7x + 9x3) = 0

Multiply (8 + 9x + 7x2) * (7x + 9x3)
(8(7x + 9x3) + 9x * (7x + 9x3) + 7x2 * (7x + 9x3)) = 0
((7x * 8 + 9x3 * 8) + 9x * (7x + 9x3) + 7x2 * (7x + 9x3)) = 0
((56x + 72x3) + 9x * (7x + 9x3) + 7x2 * (7x + 9x3)) = 0
(56x + 72x3 + (7x * 9x + 9x3 * 9x) + 7x2 * (7x + 9x3)) = 0
(56x + 72x3 + (63x2 + 81x4) + 7x2 * (7x + 9x3)) = 0
(56x + 72x3 + 63x2 + 81x4 + (7x * 7x2 + 9x3 * 7x2)) = 0
(56x + 72x3 + 63x2 + 81x4 + (49x3 + 63x5)) = 0

Reorder the terms:
(56x + 63x2 + 72x3 + 49x3 + 81x4 + 63x5) = 0

Combine like terms: 72x3 + 49x3 = 121x3
(56x + 63x2 + 121x3 + 81x4 + 63x5) = 0

Solving
56x + 63x2 + 121x3 + 81x4 + 63x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(56 + 63x + 121x2 + 81x3 + 63x4) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(56 + 63x + 121x2 + 81x3 + 63x4)' equal to zero and attempt to solve: Simplifying 56 + 63x + 121x2 + 81x3 + 63x4 = 0 Solving 56 + 63x + 121x2 + 81x3 + 63x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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