0=6x^8-45x^7

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Solution for 0=6x^8-45x^7 equation:


Simplifying
0 = 6x8 + -45x7

Reorder the terms:
0 = -45x7 + 6x8

Solving
0 = -45x7 + 6x8

Solving for variable 'x'.
Remove the zero:
45x7 + -6x8 = -45x7 + 6x8 + 45x7 + -6x8

Reorder the terms:
45x7 + -6x8 = -45x7 + 45x7 + 6x8 + -6x8

Combine like terms: -45x7 + 45x7 = 0
45x7 + -6x8 = 0 + 6x8 + -6x8
45x7 + -6x8 = 6x8 + -6x8

Combine like terms: 6x8 + -6x8 = 0
45x7 + -6x8 = 0

Factor out the Greatest Common Factor (GCF), '3x7'.
3x7(15 + -2x) = 0

Ignore the factor 3.

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 '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5

Solution

x = {7.5}

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