49b^2+70b+25=0

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Solution for 49b^2+70b+25=0 equation:


Simplifying
49b2 + 70b + 25 = 0

Reorder the terms:
25 + 70b + 49b2 = 0

Solving
25 + 70b + 49b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + 7b)(5 + 7b) = 0

Subproblem 1

Set the factor '(5 + 7b)' equal to zero and attempt to solve: Simplifying 5 + 7b = 0 Solving 5 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7b = 0 + -5 7b = 0 + -5 Combine like terms: 0 + -5 = -5 7b = -5 Divide each side by '7'. b = -0.7142857143 Simplifying b = -0.7142857143

Subproblem 2

Set the factor '(5 + 7b)' equal to zero and attempt to solve: Simplifying 5 + 7b = 0 Solving 5 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7b = 0 + -5 7b = 0 + -5 Combine like terms: 0 + -5 = -5 7b = -5 Divide each side by '7'. b = -0.7142857143 Simplifying b = -0.7142857143

Solution

b = {-0.7142857143, -0.7142857143}

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