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Simplifying 5x2 + 10x + 45 = 9 Reorder the terms: 45 + 10x + 5x2 = 9 Solving 45 + 10x + 5x2 = 9 Solving for variable 'x'. Reorder the terms: 45 + -9 + 10x + 5x2 = 9 + -9 Combine like terms: 45 + -9 = 36 36 + 10x + 5x2 = 9 + -9 Combine like terms: 9 + -9 = 0 36 + 10x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7.2 + 2x + x2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + 2x + -7.2 + x2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + 2x + x2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 2x + x2 = 0 + -7.2 2x + x2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 2x + x2 = -7.2 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -7.2 + 1 Reorder the terms: 1 + 2x + x2 = -7.2 + 1 Combine like terms: -7.2 + 1 = -6.2 1 + 2x + x2 = -6.2 Factor a perfect square on the left side: (x + 1)(x + 1) = -6.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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