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Simplifying 5x2 + 12x + 36 = 1 Reorder the terms: 36 + 12x + 5x2 = 1 Solving 36 + 12x + 5x2 = 1 Solving for variable 'x'. Reorder the terms: 36 + -1 + 12x + 5x2 = 1 + -1 Combine like terms: 36 + -1 = 35 35 + 12x + 5x2 = 1 + -1 Combine like terms: 1 + -1 = 0 35 + 12x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7 + 2.4x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2.4x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 2.4x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2.4x + x2 = 0 + -7 2.4x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2.4x + x2 = -7 The x term is 2.4x. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4x + 1.44 + x2 = -7 + 1.44 Reorder the terms: 1.44 + 2.4x + x2 = -7 + 1.44 Combine like terms: -7 + 1.44 = -5.56 1.44 + 2.4x + x2 = -5.56 Factor a perfect square on the left side: (x + 1.2)(x + 1.2) = -5.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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