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Simplifying 5x2 + 6x + k + -3 = 0 Reorder the terms: -3 + k + 6x + 5x2 = 0 Solving -3 + k + 6x + 5x2 = 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 + k + 6x + 3 + 5x2 = 0 + 3 Reorder the terms: -3 + 3 + k + 6x + 5x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + k + 6x + 5x2 = 0 + 3 k + 6x + 5x2 = 0 + 3 Combine like terms: 0 + 3 = 3 k + 6x + 5x2 = 3 Add '-6x' to each side of the equation. k + 6x + -6x + 5x2 = 3 + -6x Combine like terms: 6x + -6x = 0 k + 0 + 5x2 = 3 + -6x k + 5x2 = 3 + -6x Add '-5x2' to each side of the equation. k + 5x2 + -5x2 = 3 + -6x + -5x2 Combine like terms: 5x2 + -5x2 = 0 k + 0 = 3 + -6x + -5x2 k = 3 + -6x + -5x2 Simplifying k = 3 + -6x + -5x2
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