8x^2-2kx-k^2=0

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Solution for 8x^2-2kx-k^2=0 equation:


Simplifying
8x2 + -2kx + -1k2 = 0

Reorder the terms:
-2kx + -1k2 + 8x2 = 0

Solving
-2kx + -1k2 + 8x2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-1k + -4x)(k + -2x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

k = {-4x, 2x}

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