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Simplifying 4x = 61 + 32x2 Solving 4x = 61 + 32x2 Solving for variable 'x'. Reorder the terms: -61 + 4x + -32x2 = 61 + 32x2 + -61 + -32x2 Reorder the terms: -61 + 4x + -32x2 = 61 + -61 + 32x2 + -32x2 Combine like terms: 61 + -61 = 0 -61 + 4x + -32x2 = 0 + 32x2 + -32x2 -61 + 4x + -32x2 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 -61 + 4x + -32x2 = 0 Begin completing the square. Divide all terms by -32 the coefficient of the squared term: Divide each side by '-32'. 1.90625 + -0.125x + x2 = 0 Move the constant term to the right: Add '-1.90625' to each side of the equation. 1.90625 + -0.125x + -1.90625 + x2 = 0 + -1.90625 Reorder the terms: 1.90625 + -1.90625 + -0.125x + x2 = 0 + -1.90625 Combine like terms: 1.90625 + -1.90625 = 0.00000 0.00000 + -0.125x + x2 = 0 + -1.90625 -0.125x + x2 = 0 + -1.90625 Combine like terms: 0 + -1.90625 = -1.90625 -0.125x + x2 = -1.90625 The x term is -0.125x. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x + 0.00390625 + x2 = -1.90625 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -1.90625 + 0.00390625 Combine like terms: -1.90625 + 0.00390625 = -1.90234375 0.00390625 + -0.125x + x2 = -1.90234375 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -1.90234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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