9x^3=-45x^4

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Solution for 9x^3=-45x^4 equation:


Simplifying
9x3 = -45x4

Solving
9x3 = -45x4

Solving for variable 'x'.

Combine like terms: -45x4 + 45x4 = 0
9x3 + 45x4 = 0

Factor out the Greatest Common Factor (GCF), '9x3'.
9x3(1 + 5x) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Solution

x = {-0.2}

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