3b^2-10b-25=

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Solution for 3b^2-10b-25= equation:


Simplifying
3b2 + -10b + -25 = 0

Reorder the terms:
-25 + -10b + 3b2 = 0

Solving
-25 + -10b + 3b2 = 0

Solving for variable 'b'.

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

Subproblem 1

Set the factor '(-5 + -3b)' equal to zero and attempt to solve: Simplifying -5 + -3b = 0 Solving -5 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3b = 0 + 5 -3b = 0 + 5 Combine like terms: 0 + 5 = 5 -3b = 5 Divide each side by '-3'. b = -1.666666667 Simplifying b = -1.666666667

Subproblem 2

Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5

Solution

b = {-1.666666667, 5}

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