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Simplifying 5(x2 + 6x + 9) + 7 = 0 Reorder the terms: 5(9 + 6x + x2) + 7 = 0 (9 * 5 + 6x * 5 + x2 * 5) + 7 = 0 (45 + 30x + 5x2) + 7 = 0 Reorder the terms: 45 + 7 + 30x + 5x2 = 0 Combine like terms: 45 + 7 = 52 52 + 30x + 5x2 = 0 Solving 52 + 30x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 10.4 + 6x + x2 = 0 Move the constant term to the right: Add '-10.4' to each side of the equation. 10.4 + 6x + -10.4 + x2 = 0 + -10.4 Reorder the terms: 10.4 + -10.4 + 6x + x2 = 0 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + 6x + x2 = 0 + -10.4 6x + x2 = 0 + -10.4 Combine like terms: 0 + -10.4 = -10.4 6x + x2 = -10.4 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -10.4 + 9 Reorder the terms: 9 + 6x + x2 = -10.4 + 9 Combine like terms: -10.4 + 9 = -1.4 9 + 6x + x2 = -1.4 Factor a perfect square on the left side: (x + 3)(x + 3) = -1.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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