12b^2+17b=40

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Solution for 12b^2+17b=40 equation:


Simplifying
12b2 + 17b = 40

Reorder the terms:
17b + 12b2 = 40

Solving
17b + 12b2 = 40

Solving for variable 'b'.

Reorder the terms:
-40 + 17b + 12b2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 17b + 12b2 = 0

Factor a trinomial.
(-8 + -3b)(5 + -4b) = 0

Subproblem 1

Set the factor '(-8 + -3b)' equal to zero and attempt to solve: Simplifying -8 + -3b = 0 Solving -8 + -3b = 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 + -3b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3b = 0 + 8 -3b = 0 + 8 Combine like terms: 0 + 8 = 8 -3b = 8 Divide each side by '-3'. b = -2.666666667 Simplifying b = -2.666666667

Subproblem 2

Set the factor '(5 + -4b)' equal to zero and attempt to solve: Simplifying 5 + -4b = 0 Solving 5 + -4b = 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 + -4b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4b = 0 + -5 -4b = 0 + -5 Combine like terms: 0 + -5 = -5 -4b = -5 Divide each side by '-4'. b = 1.25 Simplifying b = 1.25

Solution

b = {-2.666666667, 1.25}

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