-2b^2+20b-18=0

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Solution for -2b^2+20b-18=0 equation:


Simplifying
-2b2 + 20b + -18 = 0

Reorder the terms:
-18 + 20b + -2b2 = 0

Solving
-18 + 20b + -2b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 10b + -1b2) = 0

Factor a trinomial.
2((-9 + b)(1 + -1b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-9 + b)' equal to zero and attempt to solve: Simplifying -9 + b = 0 Solving -9 + b = 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 + b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + b = 0 + 9 b = 0 + 9 Combine like terms: 0 + 9 = 9 b = 9 Simplifying b = 9

Subproblem 2

Set the factor '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 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 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1

Solution

b = {9, 1}

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