x^2+8b^2+6bx+0=0

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Solution for x^2+8b^2+6bx+0=0 equation:


Simplifying
x2 + 8b2 + 6bx + 0 = 0

Reorder the terms:
0 + 6bx + 8b2 + x2 = 0
Remove the zero:
6bx + 8b2 + x2 = 0

Solving
6bx + 8b2 + x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4b + x)(2b + x) = 0

Subproblem 1

Set the factor '(4b + x)' equal to zero and attempt to solve: Simplifying 4b + x = 0 Solving 4b + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. 4b + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 4b + 0 = 0 + -1x 4b = 0 + -1x Remove the zero: 4b = -1x Divide each side by '4'. b = -0.25x Simplifying b = -0.25x

Subproblem 2

Set the factor '(2b + x)' equal to zero and attempt to solve: Simplifying 2b + x = 0 Solving 2b + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. 2b + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 2b + 0 = 0 + -1x 2b = 0 + -1x Remove the zero: 2b = -1x Divide each side by '2'. b = -0.5x Simplifying b = -0.5x

Solution

b = {-0.25x, -0.5x}

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