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Simplifying 4b + -1x2 + -7x + k = 0 Reorder the terms: 4b + k + -7x + -1x2 = 0 Solving 4b + k + -7x + -1x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1k' to each side of the equation. 4b + k + -7x + -1k + -1x2 = 0 + -1k Reorder the terms: 4b + k + -1k + -7x + -1x2 = 0 + -1k Combine like terms: k + -1k = 0 4b + 0 + -7x + -1x2 = 0 + -1k 4b + -7x + -1x2 = 0 + -1k Remove the zero: 4b + -7x + -1x2 = -1k Add '7x' to each side of the equation. 4b + -7x + 7x + -1x2 = -1k + 7x Combine like terms: -7x + 7x = 0 4b + 0 + -1x2 = -1k + 7x 4b + -1x2 = -1k + 7x Add 'x2' to each side of the equation. 4b + -1x2 + x2 = -1k + 7x + x2 Combine like terms: -1x2 + x2 = 0 4b + 0 = -1k + 7x + x2 4b = -1k + 7x + x2 Divide each side by '4'. b = -0.25k + 1.75x + 0.25x2 Simplifying b = -0.25k + 1.75x + 0.25x2
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