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Simplifying 6b2 + -25b + 4 = 0 Reorder the terms: 4 + -25b + 6b2 = 0 Solving 4 + -25b + 6b2 = 0 Solving for variable 'b'. Factor a trinomial. (1 + -6b)(4 + -1b) = 0Subproblem 1
Set the factor '(1 + -6b)' equal to zero and attempt to solve: Simplifying 1 + -6b = 0 Solving 1 + -6b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6b = 0 + -1 -6b = 0 + -1 Combine like terms: 0 + -1 = -1 -6b = -1 Divide each side by '-6'. b = 0.1666666667 Simplifying b = 0.1666666667Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {0.1666666667, 4}
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