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Simplifying 28x2 + (b + 5) * x + 7 = 0 Reorder the terms: 28x2 + (5 + b) * x + 7 = 0 Reorder the terms for easier multiplication: 28x2 + x(5 + b) + 7 = 0 28x2 + (5 * x + b * x) + 7 = 0 Reorder the terms: 28x2 + (bx + 5x) + 7 = 0 28x2 + (bx + 5x) + 7 = 0 Reorder the terms: 7 + bx + 5x + 28x2 = 0 Solving 7 + bx + 5x + 28x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + bx + 5x + -7 + 28x2 = 0 + -7 Reorder the terms: 7 + -7 + bx + 5x + 28x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + bx + 5x + 28x2 = 0 + -7 bx + 5x + 28x2 = 0 + -7 Combine like terms: 0 + -7 = -7 bx + 5x + 28x2 = -7 Add '-5x' to each side of the equation. bx + 5x + -5x + 28x2 = -7 + -5x Combine like terms: 5x + -5x = 0 bx + 0 + 28x2 = -7 + -5x bx + 28x2 = -7 + -5x Add '-28x2' to each side of the equation. bx + 28x2 + -28x2 = -7 + -5x + -28x2 Combine like terms: 28x2 + -28x2 = 0 bx + 0 = -7 + -5x + -28x2 bx = -7 + -5x + -28x2 Divide each side by 'x'. b = -7x-1 + -5 + -28x Simplifying b = -7x-1 + -5 + -28x Reorder the terms: b = -5 + -7x-1 + -28x
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