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Simplifying (14b + 9)(5b + -3) = 0 Reorder the terms: (9 + 14b)(5b + -3) = 0 Reorder the terms: (9 + 14b)(-3 + 5b) = 0 Multiply (9 + 14b) * (-3 + 5b) (9(-3 + 5b) + 14b * (-3 + 5b)) = 0 ((-3 * 9 + 5b * 9) + 14b * (-3 + 5b)) = 0 ((-27 + 45b) + 14b * (-3 + 5b)) = 0 (-27 + 45b + (-3 * 14b + 5b * 14b)) = 0 (-27 + 45b + (-42b + 70b2)) = 0 Combine like terms: 45b + -42b = 3b (-27 + 3b + 70b2) = 0 Solving -27 + 3b + 70b2 = 0 Solving for variable 'b'. Factor a trinomial. (-9 + -14b)(3 + -5b) = 0Subproblem 1
Set the factor '(-9 + -14b)' equal to zero and attempt to solve: Simplifying -9 + -14b = 0 Solving -9 + -14b = 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 + -14b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -14b = 0 + 9 -14b = 0 + 9 Combine like terms: 0 + 9 = 9 -14b = 9 Divide each side by '-14'. b = -0.6428571429 Simplifying b = -0.6428571429Subproblem 2
Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6Solution
b = {-0.6428571429, 0.6}
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