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Simplifying x2 + 0.0306x + 100 = 0 Reorder the terms: 100 + 0.0306x + x2 = 0 Solving 100 + 0.0306x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 0.0306x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + 0.0306x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 0.0306x + x2 = 0 + -100 0.0306x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 0.0306x + x2 = -100 The x term is 0.0306x. Take half its coefficient (0.0153). Square it (0.00023409) and add it to both sides. Add '0.00023409' to each side of the equation. 0.0306x + 0.00023409 + x2 = -100 + 0.00023409 Reorder the terms: 0.00023409 + 0.0306x + x2 = -100 + 0.00023409 Combine like terms: -100 + 0.00023409 = -99.99976591 0.00023409 + 0.0306x + x2 = -99.99976591 Factor a perfect square on the left side: (x + 0.0153)(x + 0.0153) = -99.99976591 Can't calculate square root of the right side. The solution to this equation could not be determined.
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