15b^2-85b-280=0

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Solution for 15b^2-85b-280=0 equation:


Simplifying
15b2 + -85b + -280 = 0

Reorder the terms:
-280 + -85b + 15b2 = 0

Solving
-280 + -85b + 15b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-56 + -17b + 3b2) = 0

Factor a trinomial.
5((-7 + -3b)(8 + -1b)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-7 + -3b)' equal to zero and attempt to solve: Simplifying -7 + -3b = 0 Solving -7 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3b = 0 + 7 -3b = 0 + 7 Combine like terms: 0 + 7 = 7 -3b = 7 Divide each side by '-3'. b = -2.333333333 Simplifying b = -2.333333333

Subproblem 2

Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 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 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8

Solution

b = {-2.333333333, 8}

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