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Simplifying 4x2 + -1kx + 100 = 0 Reorder the terms: 100 + -1kx + 4x2 = 0 Solving 100 + -1kx + 4x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -1kx + -100 + 4x2 = 0 + -100 Reorder the terms: 100 + -100 + -1kx + 4x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1kx + 4x2 = 0 + -100 -1kx + 4x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -1kx + 4x2 = -100 Add '-4x2' to each side of the equation. -1kx + 4x2 + -4x2 = -100 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1kx + 0 = -100 + -4x2 -1kx = -100 + -4x2 Divide each side by '-1x'. k = 100x-1 + 4x Simplifying k = 100x-1 + 4x
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