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Simplifying 8x2 + 4x + 15 = 12 Reorder the terms: 15 + 4x + 8x2 = 12 Solving 15 + 4x + 8x2 = 12 Solving for variable 'x'. Reorder the terms: 15 + -12 + 4x + 8x2 = 12 + -12 Combine like terms: 15 + -12 = 3 3 + 4x + 8x2 = 12 + -12 Combine like terms: 12 + -12 = 0 3 + 4x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + 0.5x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + 0.5x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 0.5x + x2 = 0 + -0.375 0.5x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 0.5x + x2 = -0.375 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -0.375 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.375 + 0.0625 Combine like terms: -0.375 + 0.0625 = -0.3125 0.0625 + 0.5x + x2 = -0.3125 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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