b^2+14b+49=9

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Solution for b^2+14b+49=9 equation:


Simplifying
b2 + 14b + 49 = 9

Reorder the terms:
49 + 14b + b2 = 9

Solving
49 + 14b + b2 = 9

Solving for variable 'b'.

Reorder the terms:
49 + -9 + 14b + b2 = 9 + -9

Combine like terms: 49 + -9 = 40
40 + 14b + b2 = 9 + -9

Combine like terms: 9 + -9 = 0
40 + 14b + b2 = 0

Factor a trinomial.
(10 + b)(4 + b) = 0

Subproblem 1

Set the factor '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10

Subproblem 2

Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4

Solution

b = {-10, -4}

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