10b^2-61b+72=0

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Solution for 10b^2-61b+72=0 equation:


Simplifying
10b2 + -61b + 72 = 0

Reorder the terms:
72 + -61b + 10b2 = 0

Solving
72 + -61b + 10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + -5b)(9 + -2b) = 0

Subproblem 1

Set the factor '(8 + -5b)' equal to zero and attempt to solve: Simplifying 8 + -5b = 0 Solving 8 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5b = 0 + -8 -5b = 0 + -8 Combine like terms: 0 + -8 = -8 -5b = -8 Divide each side by '-5'. b = 1.6 Simplifying b = 1.6

Subproblem 2

Set the factor '(9 + -2b)' equal to zero and attempt to solve: Simplifying 9 + -2b = 0 Solving 9 + -2b = 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 + -2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2b = 0 + -9 -2b = 0 + -9 Combine like terms: 0 + -9 = -9 -2b = -9 Divide each side by '-2'. b = 4.5 Simplifying b = 4.5

Solution

b = {1.6, 4.5}

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