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Simplifying 5 = 4.9x2 + 1.5x + 17 Reorder the terms: 5 = 17 + 1.5x + 4.9x2 Solving 5 = 17 + 1.5x + 4.9x2 Solving for variable 'x'. Combine like terms: 5 + -17 = -12 -12 + -1.5x + -4.9x2 = 17 + 1.5x + 4.9x2 + -17 + -1.5x + -4.9x2 Reorder the terms: -12 + -1.5x + -4.9x2 = 17 + -17 + 1.5x + -1.5x + 4.9x2 + -4.9x2 Combine like terms: 17 + -17 = 0 -12 + -1.5x + -4.9x2 = 0 + 1.5x + -1.5x + 4.9x2 + -4.9x2 -12 + -1.5x + -4.9x2 = 1.5x + -1.5x + 4.9x2 + -4.9x2 Combine like terms: 1.5x + -1.5x = 0.0 -12 + -1.5x + -4.9x2 = 0.0 + 4.9x2 + -4.9x2 -12 + -1.5x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -12 + -1.5x + -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'. 2.448979592 + 0.306122449x + x2 = 0 Move the constant term to the right: Add '-2.448979592' to each side of the equation. 2.448979592 + 0.306122449x + -2.448979592 + x2 = 0 + -2.448979592 Reorder the terms: 2.448979592 + -2.448979592 + 0.306122449x + x2 = 0 + -2.448979592 Combine like terms: 2.448979592 + -2.448979592 = 0.000000000 0.000000000 + 0.306122449x + x2 = 0 + -2.448979592 0.306122449x + x2 = 0 + -2.448979592 Combine like terms: 0 + -2.448979592 = -2.448979592 0.306122449x + x2 = -2.448979592 The x term is 0.306122449x. Take half its coefficient (0.1530612245). Square it (0.02342773845) and add it to both sides. Add '0.02342773845' to each side of the equation. 0.306122449x + 0.02342773845 + x2 = -2.448979592 + 0.02342773845 Reorder the terms: 0.02342773845 + 0.306122449x + x2 = -2.448979592 + 0.02342773845 Combine like terms: -2.448979592 + 0.02342773845 = -2.42555185355 0.02342773845 + 0.306122449x + x2 = -2.42555185355 Factor a perfect square on the left side: (x + 0.1530612245)(x + 0.1530612245) = -2.42555185355 Can't calculate square root of the right side. The solution to this equation could not be determined.
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