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

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


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

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

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

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

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

Combine like terms: 49x3 + 81x3 = 130x3
(63x + 72x2 + 130x3 + 56x4 + 63x5) = 0

Solving
63x + 72x2 + 130x3 + 56x4 + 63x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(63 + 72x + 130x2 + 56x3 + 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 '(63 + 72x + 130x2 + 56x3 + 63x4)' equal to zero and attempt to solve: Simplifying 63 + 72x + 130x2 + 56x3 + 63x4 = 0 Solving 63 + 72x + 130x2 + 56x3 + 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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