7x^7-2x^6-9x^5=0

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Solution for 7x^7-2x^6-9x^5=0 equation:


Simplifying
7x7 + -2x6 + -9x5 = 0

Reorder the terms:
-9x5 + -2x6 + 7x7 = 0

Solving
-9x5 + -2x6 + 7x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x5'.
x5(-9 + -2x + 7x2) = 0

Factor a trinomial.
x5((-1 + -1x)(9 + -7x)) = 0

Subproblem 1

Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 3

Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286

Solution

x = {-1, 1.285714286}

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