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Simplifying 20b2c + -17bc + -63c = 0 Reorder the terms: -17bc + 20b2c + -63c = 0 Solving -17bc + 20b2c + -63c = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'c'. c(-17b + 20b2 + -63) = 0 Factor a trinomial. c((4b + -9)(5b + 7)) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c 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 '(4b + -9)' equal to zero and attempt to solve: Simplifying 4b + -9 = 0 Reorder the terms: -9 + 4b = 0 Solving -9 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4b = 0 + 9 4b = 0 + 9 Combine like terms: 0 + 9 = 9 4b = 9 Divide each side by '4'. b = 2.25 Simplifying b = 2.25Subproblem 3
Set the factor '(5b + 7)' equal to zero and attempt to solve: Simplifying 5b + 7 = 0 Reorder the terms: 7 + 5b = 0 Solving 7 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5b = 0 + -7 5b = 0 + -7 Combine like terms: 0 + -7 = -7 5b = -7 Divide each side by '5'. b = -1.4 Simplifying b = -1.4Solution
b = {2.25, -1.4}
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