4b^2+28bd+49d^2=0

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Solution for 4b^2+28bd+49d^2=0 equation:


Simplifying
4b2 + 28bd + 49d2 = 0

Reorder the terms:
28bd + 4b2 + 49d2 = 0

Solving
28bd + 4b2 + 49d2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + 7d)(2b + 7d) = 0

Subproblem 1

Set the factor '(2b + 7d)' equal to zero and attempt to solve: Simplifying 2b + 7d = 0 Solving 2b + 7d = 0 Move all terms containing b to the left, all other terms to the right. Add '-7d' to each side of the equation. 2b + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 2b + 0 = 0 + -7d 2b = 0 + -7d Remove the zero: 2b = -7d Divide each side by '2'. b = -3.5d Simplifying b = -3.5d

Subproblem 2

Set the factor '(2b + 7d)' equal to zero and attempt to solve: Simplifying 2b + 7d = 0 Solving 2b + 7d = 0 Move all terms containing b to the left, all other terms to the right. Add '-7d' to each side of the equation. 2b + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 2b + 0 = 0 + -7d 2b = 0 + -7d Remove the zero: 2b = -7d Divide each side by '2'. b = -3.5d Simplifying b = -3.5d

Solution

b = {-3.5d, -3.5d}

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