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Simplifying 4x2 + 40k + -10 = 0 Reorder the terms: -10 + 40k + 4x2 = 0 Solving -10 + 40k + 4x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 40k + 10 + 4x2 = 0 + 10 Reorder the terms: -10 + 10 + 40k + 4x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 40k + 4x2 = 0 + 10 40k + 4x2 = 0 + 10 Combine like terms: 0 + 10 = 10 40k + 4x2 = 10 Add '-4x2' to each side of the equation. 40k + 4x2 + -4x2 = 10 + -4x2 Combine like terms: 4x2 + -4x2 = 0 40k + 0 = 10 + -4x2 40k = 10 + -4x2 Divide each side by '40'. k = 0.25 + -0.1x2 Simplifying k = 0.25 + -0.1x2
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