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Simplifying b2x2 + 12bx2 + 35x2 = 0 Reorder the terms: 12bx2 + b2x2 + 35x2 = 0 Solving 12bx2 + b2x2 + 35x2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(12b + b2 + 35) = 0 Factor a trinomial. x2((b + 5)(b + 7)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 = 0 + -1x2 Remove the zero: 0 = -1x2 Simplifying 0 = -1x2 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 '(b + 5)' equal to zero and attempt to solve: Simplifying b + 5 = 0 Reorder the terms: 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Subproblem 3
Set the factor '(b + 7)' equal to zero and attempt to solve: Simplifying b + 7 = 0 Reorder the terms: 7 + b = 0 Solving 7 + b = 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 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Simplifying b = -7Solution
b = {-5, -7}
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