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Simplifying 4 + 12x + 9x2 + 1 + 8x + 16x2 = 25x2 + -1 Reorder the terms: 4 + 1 + 12x + 8x + 9x2 + 16x2 = 25x2 + -1 Combine like terms: 4 + 1 = 5 5 + 12x + 8x + 9x2 + 16x2 = 25x2 + -1 Combine like terms: 12x + 8x = 20x 5 + 20x + 9x2 + 16x2 = 25x2 + -1 Combine like terms: 9x2 + 16x2 = 25x2 5 + 20x + 25x2 = 25x2 + -1 Reorder the terms: 5 + 20x + 25x2 = -1 + 25x2 Add '-25x2' to each side of the equation. 5 + 20x + 25x2 + -25x2 = -1 + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 5 + 20x + 0 = -1 + 25x2 + -25x2 5 + 20x = -1 + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 5 + 20x = -1 + 0 5 + 20x = -1 Solving 5 + 20x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 20x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 20x = -1 + -5 20x = -1 + -5 Combine like terms: -1 + -5 = -6 20x = -6 Divide each side by '20'. x = -0.3 Simplifying x = -0.3
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