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Simplifying 4x(5x + 7) + 5X + 7 = 0 Reorder the terms: 4x(7 + 5x) + 5X + 7 = 0 (7 * 4x + 5x * 4x) + 5X + 7 = 0 (28x + 20x2) + 5X + 7 = 0 Reorder the terms: 7 + 5X + 28x + 20x2 = 0 Solving 7 + 5X + 28x + 20x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5X + 28x + -7 + 20x2 = 0 + -7 Reorder the terms: 7 + -7 + 5X + 28x + 20x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5X + 28x + 20x2 = 0 + -7 5X + 28x + 20x2 = 0 + -7 Combine like terms: 0 + -7 = -7 5X + 28x + 20x2 = -7 Add '-28x' to each side of the equation. 5X + 28x + -28x + 20x2 = -7 + -28x Combine like terms: 28x + -28x = 0 5X + 0 + 20x2 = -7 + -28x 5X + 20x2 = -7 + -28x Add '-20x2' to each side of the equation. 5X + 20x2 + -20x2 = -7 + -28x + -20x2 Combine like terms: 20x2 + -20x2 = 0 5X + 0 = -7 + -28x + -20x2 5X = -7 + -28x + -20x2 Divide each side by '5'. X = -1.4 + -5.6x + -4x2 Simplifying X = -1.4 + -5.6x + -4x2
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