9b^2-15b=-4

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Solution for 9b^2-15b=-4 equation:


Simplifying
9b2 + -15b = -4

Reorder the terms:
-15b + 9b2 = -4

Solving
-15b + 9b2 = -4

Solving for variable 'b'.

Reorder the terms:
4 + -15b + 9b2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -15b + 9b2 = 0

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

Subproblem 1

Set the factor '(1 + -3b)' equal to zero and attempt to solve: Simplifying 1 + -3b = 0 Solving 1 + -3b = 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 + -3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3b = 0 + -1 -3b = 0 + -1 Combine like terms: 0 + -1 = -1 -3b = -1 Divide each side by '-3'. b = 0.3333333333 Simplifying b = 0.3333333333

Subproblem 2

Set the factor '(4 + -3b)' equal to zero and attempt to solve: Simplifying 4 + -3b = 0 Solving 4 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3b = 0 + -4 -3b = 0 + -4 Combine like terms: 0 + -4 = -4 -3b = -4 Divide each side by '-3'. b = 1.333333333 Simplifying b = 1.333333333

Solution

b = {0.3333333333, 1.333333333}

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