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Simplifying 5x(x + 6) + 62 = 0 Reorder the terms: 5x(6 + x) + 62 = 0 (6 * 5x + x * 5x) + 62 = 0 (30x + 5x2) + 62 = 0 Reorder the terms: 62 + 30x + 5x2 = 0 Solving 62 + 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'. 12.4 + 6x + x2 = 0 Move the constant term to the right: Add '-12.4' to each side of the equation. 12.4 + 6x + -12.4 + x2 = 0 + -12.4 Reorder the terms: 12.4 + -12.4 + 6x + x2 = 0 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + 6x + x2 = 0 + -12.4 6x + x2 = 0 + -12.4 Combine like terms: 0 + -12.4 = -12.4 6x + x2 = -12.4 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 = -12.4 + 9 Reorder the terms: 9 + 6x + x2 = -12.4 + 9 Combine like terms: -12.4 + 9 = -3.4 9 + 6x + x2 = -3.4 Factor a perfect square on the left side: (x + 3)(x + 3) = -3.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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