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Simplifying -4kx2 + -4x2 + -16x + -9 = 0 Reorder the terms: -9 + -4kx2 + -16x + -4x2 = 0 Solving -9 + -4kx2 + -16x + -4x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -4kx2 + -16x + 9 + -4x2 = 0 + 9 Reorder the terms: -9 + 9 + -4kx2 + -16x + -4x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4kx2 + -16x + -4x2 = 0 + 9 -4kx2 + -16x + -4x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -4kx2 + -16x + -4x2 = 9 Add '16x' to each side of the equation. -4kx2 + -16x + 16x + -4x2 = 9 + 16x Combine like terms: -16x + 16x = 0 -4kx2 + 0 + -4x2 = 9 + 16x -4kx2 + -4x2 = 9 + 16x Add '4x2' to each side of the equation. -4kx2 + -4x2 + 4x2 = 9 + 16x + 4x2 Combine like terms: -4x2 + 4x2 = 0 -4kx2 + 0 = 9 + 16x + 4x2 -4kx2 = 9 + 16x + 4x2 Divide each side by '-4x2'. k = -2.25x-2 + -4x-1 + -1 Simplifying k = -2.25x-2 + -4x-1 + -1 Reorder the terms: k = -1 + -2.25x-2 + -4x-1
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