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Simplifying 7x2 + -5x + -1(k + 3) = 0 Reorder the terms: 7x2 + -5x + -1(3 + k) = 0 7x2 + -5x + (3 * -1 + k * -1) = 0 7x2 + -5x + (-3 + -1k) = 0 Reorder the terms: -3 + -1k + -5x + 7x2 = 0 Solving -3 + -1k + -5x + 7x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1k + -5x + 3 + 7x2 = 0 + 3 Reorder the terms: -3 + 3 + -1k + -5x + 7x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k + -5x + 7x2 = 0 + 3 -1k + -5x + 7x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1k + -5x + 7x2 = 3 Add '5x' to each side of the equation. -1k + -5x + 5x + 7x2 = 3 + 5x Combine like terms: -5x + 5x = 0 -1k + 0 + 7x2 = 3 + 5x -1k + 7x2 = 3 + 5x Add '-7x2' to each side of the equation. -1k + 7x2 + -7x2 = 3 + 5x + -7x2 Combine like terms: 7x2 + -7x2 = 0 -1k + 0 = 3 + 5x + -7x2 -1k = 3 + 5x + -7x2 Divide each side by '-1'. k = -3 + -5x + 7x2 Simplifying k = -3 + -5x + 7x2
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