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Simplifying 25r2 + -70rs + 49s2 = 0 Reorder the terms: -70rs + 25r2 + 49s2 = 0 Solving -70rs + 25r2 + 49s2 = 0 Solving for variable 'r'. Factor a trinomial. (5r + -7s)(5r + -7s) = 0Subproblem 1
Set the factor '(5r + -7s)' equal to zero and attempt to solve: Simplifying 5r + -7s = 0 Solving 5r + -7s = 0 Move all terms containing r to the left, all other terms to the right. Add '7s' to each side of the equation. 5r + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 5r + 0 = 0 + 7s 5r = 0 + 7s Remove the zero: 5r = 7s Divide each side by '5'. r = 1.4s Simplifying r = 1.4sSubproblem 2
Set the factor '(5r + -7s)' equal to zero and attempt to solve: Simplifying 5r + -7s = 0 Solving 5r + -7s = 0 Move all terms containing r to the left, all other terms to the right. Add '7s' to each side of the equation. 5r + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 5r + 0 = 0 + 7s 5r = 0 + 7s Remove the zero: 5r = 7s Divide each side by '5'. r = 1.4s Simplifying r = 1.4sSolution
r = {1.4s, 1.4s}
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