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Simplifying 3(sqr(y2 + 3)) = 2(sqr(y3 + -12)) Reorder the terms: 3(qrs(3 + y2)) = 2(sqr(y3 + -12)) 3((3 * qrs + y2 * qrs)) = 2(sqr(y3 + -12)) 3((3qrs + qrsy2)) = 2(sqr(y3 + -12)) (3qrs * 3 + qrsy2 * 3) = 2(sqr(y3 + -12)) (9qrs + 3qrsy2) = 2(sqr(y3 + -12)) Reorder the terms: 9qrs + 3qrsy2 = 2(qrs(-12 + y3)) 9qrs + 3qrsy2 = 2((-12 * qrs + y3 * qrs)) 9qrs + 3qrsy2 = 2((-12qrs + qrsy3)) 9qrs + 3qrsy2 = (-12qrs * 2 + qrsy3 * 2) 9qrs + 3qrsy2 = (-24qrs + 2qrsy3) Solving 9qrs + 3qrsy2 = -24qrs + 2qrsy3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '24qrs' to each side of the equation. 9qrs + 24qrs + 3qrsy2 = -24qrs + 24qrs + 2qrsy3 Combine like terms: 9qrs + 24qrs = 33qrs 33qrs + 3qrsy2 = -24qrs + 24qrs + 2qrsy3 Combine like terms: -24qrs + 24qrs = 0 33qrs + 3qrsy2 = 0 + 2qrsy3 33qrs + 3qrsy2 = 2qrsy3 Add '-2qrsy3' to each side of the equation. 33qrs + 3qrsy2 + -2qrsy3 = 2qrsy3 + -2qrsy3 Combine like terms: 2qrsy3 + -2qrsy3 = 0 33qrs + 3qrsy2 + -2qrsy3 = 0 Factor out the Greatest Common Factor (GCF), 'qrs'. qrs(33 + 3y2 + -2y3) = 0Subproblem 1
Set the factor 'qrs' equal to zero and attempt to solve: Simplifying qrs = 0 Solving qrs = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrs = 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 '(33 + 3y2 + -2y3)' equal to zero and attempt to solve: Simplifying 33 + 3y2 + -2y3 = 0 Solving 33 + 3y2 + -2y3 = 0 Move all terms containing q to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 3y2 + -33 + -2y3 = 0 + -33 Reorder the terms: 33 + -33 + 3y2 + -2y3 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 3y2 + -2y3 = 0 + -33 3y2 + -2y3 = 0 + -33 Combine like terms: 0 + -33 = -33 3y2 + -2y3 = -33 Add '-3y2' to each side of the equation. 3y2 + -3y2 + -2y3 = -33 + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 + -2y3 = -33 + -3y2 -2y3 = -33 + -3y2 Add '2y3' to each side of the equation. -2y3 + 2y3 = -33 + -3y2 + 2y3 Combine like terms: -2y3 + 2y3 = 0 0 = -33 + -3y2 + 2y3 Simplifying 0 = -33 + -3y2 + 2y3 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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