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Simplifying -3rs(2r2s + 12t + -7) = 0 Reorder the terms: -3rs(-7 + 2r2s + 12t) = 0 (-7 * -3rs + 2r2s * -3rs + 12t * -3rs) = 0 Reorder the terms: (21rs + -36rst + -6r3s2) = 0 (21rs + -36rst + -6r3s2) = 0 Solving 21rs + -36rst + -6r3s2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3rs'. 3rs(7 + -12t + -2r2s) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'rs' equal to zero and attempt to solve: Simplifying rs = 0 Solving rs = 0 Move all terms containing r to the left, all other terms to the right. Simplifying rs = 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 '(7 + -12t + -2r2s)' equal to zero and attempt to solve: Simplifying 7 + -12t + -2r2s = 0 Reorder the terms: 7 + -2r2s + -12t = 0 Solving 7 + -2r2s + -12t = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -2r2s + -7 + -12t = 0 + -7 Reorder the terms: 7 + -7 + -2r2s + -12t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2r2s + -12t = 0 + -7 -2r2s + -12t = 0 + -7 Combine like terms: 0 + -7 = -7 -2r2s + -12t = -7 Add '12t' to each side of the equation. -2r2s + -12t + 12t = -7 + 12t Combine like terms: -12t + 12t = 0 -2r2s + 0 = -7 + 12t -2r2s = -7 + 12t Divide each side by '-2s'. r2 = 3.5s-1 + -6s-1t Simplifying r2 = 3.5s-1 + -6s-1t 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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