8r+6s(8r-7s)=

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Solution for 8r+6s(8r-7s)= equation:


Simplifying
8r + 6s(8r + -7s) = 0
8r + (8r * 6s + -7s * 6s) = 0
8r + (48rs + -42s2) = 0

Solving
8r + 48rs + -42s2 = 0

Solving for variable 'r'.

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

Add '42s2' to each side of the equation.
8r + 48rs + -42s2 + 42s2 = 0 + 42s2

Combine like terms: -42s2 + 42s2 = 0
8r + 48rs + 0 = 0 + 42s2
8r + 48rs = 0 + 42s2
Remove the zero:
8r + 48rs = 42s2

Combine like terms: 42s2 + -42s2 = 0
8r + 48rs + -42s2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4r + 24rs + -21s2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4r + 24rs + -21s2)' equal to zero and attempt to solve: Simplifying 4r + 24rs + -21s2 = 0 Solving 4r + 24rs + -21s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '21s2' to each side of the equation. 4r + 24rs + -21s2 + 21s2 = 0 + 21s2 Combine like terms: -21s2 + 21s2 = 0 4r + 24rs + 0 = 0 + 21s2 4r + 24rs = 0 + 21s2 Remove the zero: 4r + 24rs = 21s2 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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