36b^2+23b-3=

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Solution for 36b^2+23b-3= equation:


Simplifying
36b2 + 23b + -3 = 0

Reorder the terms:
-3 + 23b + 36b2 = 0

Solving
-3 + 23b + 36b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -4b)(1 + -9b) = 0

Subproblem 1

Set the factor '(-3 + -4b)' equal to zero and attempt to solve: Simplifying -3 + -4b = 0 Solving -3 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4b = 0 + 3 -4b = 0 + 3 Combine like terms: 0 + 3 = 3 -4b = 3 Divide each side by '-4'. b = -0.75 Simplifying b = -0.75

Subproblem 2

Set the factor '(1 + -9b)' equal to zero and attempt to solve: Simplifying 1 + -9b = 0 Solving 1 + -9b = 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 + -9b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9b = 0 + -1 -9b = 0 + -1 Combine like terms: 0 + -1 = -1 -9b = -1 Divide each side by '-9'. b = 0.1111111111 Simplifying b = 0.1111111111

Solution

b = {-0.75, 0.1111111111}

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