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Simplifying 5x2 + 42x + 149 = 0 Reorder the terms: 149 + 42x + 5x2 = 0 Solving 149 + 42x + 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'. 29.8 + 8.4x + x2 = 0 Move the constant term to the right: Add '-29.8' to each side of the equation. 29.8 + 8.4x + -29.8 + x2 = 0 + -29.8 Reorder the terms: 29.8 + -29.8 + 8.4x + x2 = 0 + -29.8 Combine like terms: 29.8 + -29.8 = 0.0 0.0 + 8.4x + x2 = 0 + -29.8 8.4x + x2 = 0 + -29.8 Combine like terms: 0 + -29.8 = -29.8 8.4x + x2 = -29.8 The x term is 8.4x. Take half its coefficient (4.2). Square it (17.64) and add it to both sides. Add '17.64' to each side of the equation. 8.4x + 17.64 + x2 = -29.8 + 17.64 Reorder the terms: 17.64 + 8.4x + x2 = -29.8 + 17.64 Combine like terms: -29.8 + 17.64 = -12.16 17.64 + 8.4x + x2 = -12.16 Factor a perfect square on the left side: (x + 4.2)(x + 4.2) = -12.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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