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Simplifying 8x2 + 10x + -1(k + 5) = 0 Reorder the terms: 8x2 + 10x + -1(5 + k) = 0 8x2 + 10x + (5 * -1 + k * -1) = 0 8x2 + 10x + (-5 + -1k) = 0 Reorder the terms: -5 + -1k + 10x + 8x2 = 0 Solving -5 + -1k + 10x + 8x2 = 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 + -1k + 10x + 5 + 8x2 = 0 + 5 Reorder the terms: -5 + 5 + -1k + 10x + 8x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k + 10x + 8x2 = 0 + 5 -1k + 10x + 8x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1k + 10x + 8x2 = 5 Add '-10x' to each side of the equation. -1k + 10x + -10x + 8x2 = 5 + -10x Combine like terms: 10x + -10x = 0 -1k + 0 + 8x2 = 5 + -10x -1k + 8x2 = 5 + -10x Add '-8x2' to each side of the equation. -1k + 8x2 + -8x2 = 5 + -10x + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1k + 0 = 5 + -10x + -8x2 -1k = 5 + -10x + -8x2 Divide each side by '-1'. k = -5 + 10x + 8x2 Simplifying k = -5 + 10x + 8x2
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