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Simplifying 25b3 + -144b = 0 Reorder the terms: -144b + 25b3 = 0 Solving -144b + 25b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-144 + 25b2) = 0 Factor a difference between two squares. b((12 + 5b)(-12 + 5b)) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(12 + 5b)' equal to zero and attempt to solve: Simplifying 12 + 5b = 0 Solving 12 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5b = 0 + -12 5b = 0 + -12 Combine like terms: 0 + -12 = -12 5b = -12 Divide each side by '5'. b = -2.4 Simplifying b = -2.4Subproblem 3
Set the factor '(-12 + 5b)' equal to zero and attempt to solve: Simplifying -12 + 5b = 0 Solving -12 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5b = 0 + 12 5b = 0 + 12 Combine like terms: 0 + 12 = 12 5b = 12 Divide each side by '5'. b = 2.4 Simplifying b = 2.4Solution
b = {0, -2.4, 2.4}
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