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Simplifying (7b + 4)(3b + -4) = 0 Reorder the terms: (4 + 7b)(3b + -4) = 0 Reorder the terms: (4 + 7b)(-4 + 3b) = 0 Multiply (4 + 7b) * (-4 + 3b) (4(-4 + 3b) + 7b * (-4 + 3b)) = 0 ((-4 * 4 + 3b * 4) + 7b * (-4 + 3b)) = 0 ((-16 + 12b) + 7b * (-4 + 3b)) = 0 (-16 + 12b + (-4 * 7b + 3b * 7b)) = 0 (-16 + 12b + (-28b + 21b2)) = 0 Combine like terms: 12b + -28b = -16b (-16 + -16b + 21b2) = 0 Solving -16 + -16b + 21b2 = 0 Solving for variable 'b'. Factor a trinomial. (-4 + -7b)(4 + -3b) = 0Subproblem 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 '(4 + -3b)' equal to zero and attempt to solve: Simplifying 4 + -3b = 0 Solving 4 + -3b = 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 + -3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3b = 0 + -4 -3b = 0 + -4 Combine like terms: 0 + -4 = -4 -3b = -4 Divide each side by '-3'. b = 1.333333333 Simplifying b = 1.333333333Solution
b = {-0.5714285714, 1.333333333}
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