10q^5r+8q^6r^7=2q^5r

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Solution for 10q^5r+8q^6r^7=2q^5r equation:


Simplifying
10q5r + 8q6r7 = 2q5r

Solving
10q5r + 8q6r7 = 2q5r

Solving for variable 'q'.

Reorder the terms:
10q5r + -2q5r + 8q6r7 = 2q5r + -2q5r

Combine like terms: 10q5r + -2q5r = 8q5r
8q5r + 8q6r7 = 2q5r + -2q5r

Combine like terms: 2q5r + -2q5r = 0
8q5r + 8q6r7 = 0

Factor out the Greatest Common Factor (GCF), '8q5r'.
8q5r(1 + qr6) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'q5r' equal to zero and attempt to solve: Simplifying q5r = 0 Solving q5r = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q5r = 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 + qr6)' equal to zero and attempt to solve: Simplifying 1 + qr6 = 0 Solving 1 + qr6 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + qr6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + qr6 = 0 + -1 qr6 = 0 + -1 Combine like terms: 0 + -1 = -1 qr6 = -1 Divide each side by 'r6'. q = -1r-6 Simplifying q = -1r-6

Solution

q = {-1r-6}

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