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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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