4qr+8r-6q=12

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Solution for 4qr+8r-6q=12 equation:


Simplifying
4qr + 8r + -6q = 12

Reorder the terms:
-6q + 4qr + 8r = 12

Solving
-6q + 4qr + 8r = 12

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-8r' to each side of the equation.
-6q + 4qr + 8r + -8r = 12 + -8r

Combine like terms: 8r + -8r = 0
-6q + 4qr + 0 = 12 + -8r
-6q + 4qr = 12 + -8r

Reorder the terms:
-12 + -6q + 4qr + 8r = 12 + -8r + -12 + 8r

Reorder the terms:
-12 + -6q + 4qr + 8r = 12 + -12 + -8r + 8r

Combine like terms: 12 + -12 = 0
-12 + -6q + 4qr + 8r = 0 + -8r + 8r
-12 + -6q + 4qr + 8r = -8r + 8r

Combine like terms: -8r + 8r = 0
-12 + -6q + 4qr + 8r = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -3q + 2qr + 4r) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + -3q + 2qr + 4r)' equal to zero and attempt to solve: Simplifying -6 + -3q + 2qr + 4r = 0 Solving -6 + -3q + 2qr + 4r = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3q + 2qr + 6 + 4r = 0 + 6 Reorder the terms: -6 + 6 + -3q + 2qr + 4r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3q + 2qr + 4r = 0 + 6 -3q + 2qr + 4r = 0 + 6 Combine like terms: 0 + 6 = 6 -3q + 2qr + 4r = 6 Add '-4r' to each side of the equation. -3q + 2qr + 4r + -4r = 6 + -4r Combine like terms: 4r + -4r = 0 -3q + 2qr + 0 = 6 + -4r -3q + 2qr = 6 + -4r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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