9b^2-6b=8

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Solution for 9b^2-6b=8 equation:


Simplifying
9b2 + -6b = 8

Reorder the terms:
-6b + 9b2 = 8

Solving
-6b + 9b2 = 8

Solving for variable 'b'.

Reorder the terms:
-8 + -6b + 9b2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -6b + 9b2 = 0

Factor a trinomial.
(-2 + -3b)(4 + -3b) = 0

Subproblem 1

Set the factor '(-2 + -3b)' equal to zero and attempt to solve: Simplifying -2 + -3b = 0 Solving -2 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 0 + 2 -3b = 0 + 2 Combine like terms: 0 + 2 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667

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 = {-0.6666666667, 1.333333333}

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