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Simplifying 2x2 + -24x + -4kx + 5 = 0 Reorder the terms: 5 + -4kx + -24x + 2x2 = 0 Solving 5 + -4kx + -24x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4kx + -24x + -5 + 2x2 = 0 + -5 Reorder the terms: 5 + -5 + -4kx + -24x + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4kx + -24x + 2x2 = 0 + -5 -4kx + -24x + 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4kx + -24x + 2x2 = -5 Add '24x' to each side of the equation. -4kx + -24x + 24x + 2x2 = -5 + 24x Combine like terms: -24x + 24x = 0 -4kx + 0 + 2x2 = -5 + 24x -4kx + 2x2 = -5 + 24x Add '-2x2' to each side of the equation. -4kx + 2x2 + -2x2 = -5 + 24x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4kx + 0 = -5 + 24x + -2x2 -4kx = -5 + 24x + -2x2 Divide each side by '-4x'. k = 1.25x-1 + -6 + 0.5x Simplifying k = 1.25x-1 + -6 + 0.5x Reorder the terms: k = -6 + 1.25x-1 + 0.5x
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