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Simplifying -58.8 = 4.9x2 + 14.7x Reorder the terms: -58.8 = 14.7x + 4.9x2 Solving -58.8 = 14.7x + 4.9x2 Solving for variable 'x'. Reorder the terms: -58.8 + -14.7x + -4.9x2 = 14.7x + -14.7x + 4.9x2 + -4.9x2 Combine like terms: 14.7x + -14.7x = 0.0 -58.8 + -14.7x + -4.9x2 = 0.0 + 4.9x2 + -4.9x2 -58.8 + -14.7x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -58.8 + -14.7x + -4.9x2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 12 + 3x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 3x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 3x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x + x2 = 0 + -12 3x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 3x + x2 = -12 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -12 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -12 + 2.25 Combine like terms: -12 + 2.25 = -9.75 2.25 + 3x + x2 = -9.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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