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Simplifying 5x(5x) + 12x + 3 = x Remove parenthesis around (5x) 5x * 5x + 12x + 3 = x Reorder the terms for easier multiplication: 5 * 5x * x + 12x + 3 = x Multiply 5 * 5 25x * x + 12x + 3 = x Multiply x * x 25x2 + 12x + 3 = x Reorder the terms: 3 + 12x + 25x2 = x Solving 3 + 12x + 25x2 = x Solving for variable 'x'. Reorder the terms: 3 + 12x + -1x + 25x2 = x + -1x Combine like terms: 12x + -1x = 11x 3 + 11x + 25x2 = x + -1x Combine like terms: x + -1x = 0 3 + 11x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.12 + 0.44x + x2 = 0 Move the constant term to the right: Add '-0.12' to each side of the equation. 0.12 + 0.44x + -0.12 + x2 = 0 + -0.12 Reorder the terms: 0.12 + -0.12 + 0.44x + x2 = 0 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.44x + x2 = 0 + -0.12 0.44x + x2 = 0 + -0.12 Combine like terms: 0 + -0.12 = -0.12 0.44x + x2 = -0.12 The x term is 0.44x. Take half its coefficient (0.22). Square it (0.0484) and add it to both sides. Add '0.0484' to each side of the equation. 0.44x + 0.0484 + x2 = -0.12 + 0.0484 Reorder the terms: 0.0484 + 0.44x + x2 = -0.12 + 0.0484 Combine like terms: -0.12 + 0.0484 = -0.0716 0.0484 + 0.44x + x2 = -0.0716 Factor a perfect square on the left side: (x + 0.22)(x + 0.22) = -0.0716 Can't calculate square root of the right side. The solution to this equation could not be determined.
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