x^8+3x^7=0

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Solution for x^8+3x^7=0 equation:


Simplifying
x8 + 3x7 = 0

Reorder the terms:
3x7 + x8 = 0

Solving
3x7 + x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(3 + x) = 0

Subproblem 1

Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-3}

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