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Simplifying 5b4 + 18b3 + -35b2 = 0 Reorder the terms: -35b2 + 18b3 + 5b4 = 0 Solving -35b2 + 18b3 + 5b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b2'. b2(-35 + 18b + 5b2) = 0 Factor a trinomial. b2((-5 + -1b)(7 + -5b)) = 0Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(-5 + -1b)' equal to zero and attempt to solve: Simplifying -5 + -1b = 0 Solving -5 + -1b = 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 + -1b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = 0 + 5 -1b = 0 + 5 Combine like terms: 0 + 5 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5Subproblem 3
Set the factor '(7 + -5b)' equal to zero and attempt to solve: Simplifying 7 + -5b = 0 Solving 7 + -5b = 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 + -5b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5b = 0 + -7 -5b = 0 + -7 Combine like terms: 0 + -7 = -7 -5b = -7 Divide each side by '-5'. b = 1.4 Simplifying b = 1.4Solution
b = {0, -5, 1.4}
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