9b^2+42b+49=0

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Solution for 9b^2+42b+49=0 equation:


Simplifying
9b2 + 42b + 49 = 0

Reorder the terms:
49 + 42b + 9b2 = 0

Solving
49 + 42b + 9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(7 + 3b)(7 + 3b) = 0

Subproblem 1

Set the factor '(7 + 3b)' equal to zero and attempt to solve: Simplifying 7 + 3b = 0 Solving 7 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = 0 + -7 3b = 0 + -7 Combine like terms: 0 + -7 = -7 3b = -7 Divide each side by '3'. b = -2.333333333 Simplifying b = -2.333333333

Subproblem 2

Set the factor '(7 + 3b)' equal to zero and attempt to solve: Simplifying 7 + 3b = 0 Solving 7 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = 0 + -7 3b = 0 + -7 Combine like terms: 0 + -7 = -7 3b = -7 Divide each side by '3'. b = -2.333333333 Simplifying b = -2.333333333

Solution

b = {-2.333333333, -2.333333333}

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