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Simplifying 0 = 0.005x2 + 0.17x + 3 Reorder the terms: 0 = 3 + 0.17x + 0.005x2 Solving 0 = 3 + 0.17x + 0.005x2 Solving for variable 'x'. Combine like terms: 0 + -3 = -3 -3 + -0.17x + -0.005x2 = 3 + 0.17x + 0.005x2 + -3 + -0.17x + -0.005x2 Reorder the terms: -3 + -0.17x + -0.005x2 = 3 + -3 + 0.17x + -0.17x + 0.005x2 + -0.005x2 Combine like terms: 3 + -3 = 0 -3 + -0.17x + -0.005x2 = 0 + 0.17x + -0.17x + 0.005x2 + -0.005x2 -3 + -0.17x + -0.005x2 = 0.17x + -0.17x + 0.005x2 + -0.005x2 Combine like terms: 0.17x + -0.17x = 0.00 -3 + -0.17x + -0.005x2 = 0.00 + 0.005x2 + -0.005x2 -3 + -0.17x + -0.005x2 = 0.005x2 + -0.005x2 Combine like terms: 0.005x2 + -0.005x2 = 0.000 -3 + -0.17x + -0.005x2 = 0.000 Begin completing the square. Divide all terms by -0.005 the coefficient of the squared term: Divide each side by '-0.005'. 600 + 34x + x2 = 0 Move the constant term to the right: Add '-600' to each side of the equation. 600 + 34x + -600 + x2 = 0 + -600 Reorder the terms: 600 + -600 + 34x + x2 = 0 + -600 Combine like terms: 600 + -600 = 0 0 + 34x + x2 = 0 + -600 34x + x2 = 0 + -600 Combine like terms: 0 + -600 = -600 34x + x2 = -600 The x term is 34x. Take half its coefficient (17). Square it (289) and add it to both sides. Add '289' to each side of the equation. 34x + 289 + x2 = -600 + 289 Reorder the terms: 289 + 34x + x2 = -600 + 289 Combine like terms: -600 + 289 = -311 289 + 34x + x2 = -311 Factor a perfect square on the left side: (x + 17)(x + 17) = -311 Can't calculate square root of the right side. The solution to this equation could not be determined.
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