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Simplifying (6b4 + 3)(3b4 + -5) = 0 Reorder the terms: (3 + 6b4)(3b4 + -5) = 0 Reorder the terms: (3 + 6b4)(-5 + 3b4) = 0 Multiply (3 + 6b4) * (-5 + 3b4) (3(-5 + 3b4) + 6b4 * (-5 + 3b4)) = 0 ((-5 * 3 + 3b4 * 3) + 6b4 * (-5 + 3b4)) = 0 ((-15 + 9b4) + 6b4 * (-5 + 3b4)) = 0 (-15 + 9b4 + (-5 * 6b4 + 3b4 * 6b4)) = 0 (-15 + 9b4 + (-30b4 + 18b8)) = 0 Combine like terms: 9b4 + -30b4 = -21b4 (-15 + -21b4 + 18b8) = 0 Solving -15 + -21b4 + 18b8 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + -7b4 + 6b8) = 0 Factor a trinomial. 3((-1 + -2b4)(5 + -3b4)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2b4)' equal to zero and attempt to solve: Simplifying -1 + -2b4 = 0 Solving -1 + -2b4 = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2b4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2b4 = 0 + 1 -2b4 = 0 + 1 Combine like terms: 0 + 1 = 1 -2b4 = 1 Divide each side by '-2'. b4 = -0.5 Simplifying b4 = -0.5 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 '(5 + -3b4)' equal to zero and attempt to solve: Simplifying 5 + -3b4 = 0 Solving 5 + -3b4 = 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 + -3b4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3b4 = 0 + -5 -3b4 = 0 + -5 Combine like terms: 0 + -5 = -5 -3b4 = -5 Divide each side by '-3'. b4 = 1.666666667 Simplifying b4 = 1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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