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Simplifying 4r2 + -28rs + 49s2 = 0 Reorder the terms: -28rs + 4r2 + 49s2 = 0 Solving -28rs + 4r2 + 49s2 = 0 Solving for variable 'r'. Factor a trinomial. (2r + -7s)(2r + -7s) = 0Subproblem 1
Set the factor '(2r + -7s)' equal to zero and attempt to solve: Simplifying 2r + -7s = 0 Solving 2r + -7s = 0 Move all terms containing r to the left, all other terms to the right. Add '7s' to each side of the equation. 2r + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 2r + 0 = 0 + 7s 2r = 0 + 7s Remove the zero: 2r = 7s Divide each side by '2'. r = 3.5s Simplifying r = 3.5sSubproblem 2
Set the factor '(2r + -7s)' equal to zero and attempt to solve: Simplifying 2r + -7s = 0 Solving 2r + -7s = 0 Move all terms containing r to the left, all other terms to the right. Add '7s' to each side of the equation. 2r + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 2r + 0 = 0 + 7s 2r = 0 + 7s Remove the zero: 2r = 7s Divide each side by '2'. r = 3.5s Simplifying r = 3.5sSolution
r = {3.5s, 3.5s}
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