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Simplifying 2k2x2 + kx + -36 = 0 Reorder the terms: -36 + kx + 2k2x2 = 0 Solving -36 + kx + 2k2x2 = 0 Solving for variable 'k'. Factor a trinomial. (-9 + -2kx)(4 + -1kx) = 0Subproblem 1
Set the factor '(-9 + -2kx)' equal to zero and attempt to solve: Simplifying -9 + -2kx = 0 Solving -9 + -2kx = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2kx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2kx = 0 + 9 -2kx = 0 + 9 Combine like terms: 0 + 9 = 9 -2kx = 9 Divide each side by '-2x'. k = -4.5x-1 Simplifying k = -4.5x-1Subproblem 2
Set the factor '(4 + -1kx)' equal to zero and attempt to solve: Simplifying 4 + -1kx = 0 Solving 4 + -1kx = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1kx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1kx = 0 + -4 -1kx = 0 + -4 Combine like terms: 0 + -4 = -4 -1kx = -4 Divide each side by '-1x'. k = 4x-1 Simplifying k = 4x-1Solution
k = {-4.5x-1, 4x-1}
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