9b^2-12b+4=0

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Solution for 9b^2-12b+4=0 equation:


Simplifying
9b2 + -12b + 4 = 0

Reorder the terms:
4 + -12b + 9b2 = 0

Solving
4 + -12b + 9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2 + -3b)(2 + -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 '(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

Solution

b = {0.6666666667, 0.6666666667}

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