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Simplifying 42b2 + -60b + -48 = 0 Reorder the terms: -48 + -60b + 42b2 = 0 Solving -48 + -60b + 42b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + -10b + 7b2) = 0 Factor a trinomial. 6((-4 + -7b)(2 + -1b)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + -7b)' equal to zero and attempt to solve: Simplifying -4 + -7b = 0 Solving -4 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7b = 0 + 4 -7b = 0 + 4 Combine like terms: 0 + 4 = 4 -7b = 4 Divide each side by '-7'. b = -0.5714285714 Simplifying b = -0.5714285714Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-0.5714285714, 2}
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