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Simplifying x2 + -5kx + -50x2 = 0 Reorder the terms: -5kx + x2 + -50x2 = 0 Combine like terms: x2 + -50x2 = -49x2 -5kx + -49x2 = 0 Solving -5kx + -49x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49x2' to each side of the equation. -5kx + -49x2 + 49x2 = 0 + 49x2 Combine like terms: -49x2 + 49x2 = 0 -5kx + 0 = 0 + 49x2 -5kx = 0 + 49x2 Remove the zero: -5kx = 49x2 Divide each side by '-5x'. k = -9.8x Simplifying k = -9.8x
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