10b^2+41b-18=0

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Solution for 10b^2+41b-18=0 equation:


Simplifying
10b2 + 41b + -18 = 0

Reorder the terms:
-18 + 41b + 10b2 = 0

Solving
-18 + 41b + 10b2 = 0

Solving for variable 'b'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -5b)' equal to zero and attempt to solve: Simplifying 2 + -5b = 0 Solving 2 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5b = 0 + -2 -5b = 0 + -2 Combine like terms: 0 + -2 = -2 -5b = -2 Divide each side by '-5'. b = 0.4 Simplifying b = 0.4

Solution

b = {-4.5, 0.4}

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