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Simplifying 12b2 + -13br + -35r2 = 0 Reorder the terms: -13br + 12b2 + -35r2 = 0 Solving -13br + 12b2 + -35r2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + -7r)(4b + 5r) = 0Subproblem 1
Set the factor '(3b + -7r)' equal to zero and attempt to solve: Simplifying 3b + -7r = 0 Solving 3b + -7r = 0 Move all terms containing b to the left, all other terms to the right. Add '7r' to each side of the equation. 3b + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 3b + 0 = 0 + 7r 3b = 0 + 7r Remove the zero: 3b = 7r Divide each side by '3'. b = 2.333333333r Simplifying b = 2.333333333rSubproblem 2
Set the factor '(4b + 5r)' equal to zero and attempt to solve: Simplifying 4b + 5r = 0 Solving 4b + 5r = 0 Move all terms containing b to the left, all other terms to the right. Add '-5r' to each side of the equation. 4b + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 4b + 0 = 0 + -5r 4b = 0 + -5r Remove the zero: 4b = -5r Divide each side by '4'. b = -1.25r Simplifying b = -1.25rSolution
b = {2.333333333r, -1.25r}
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