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Simplifying 40x2 + -7x + 28 = 0 Reorder the terms: 28 + -7x + 40x2 = 0 Solving 28 + -7x + 40x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 0.7 + -0.175x + x2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + -0.175x + -0.7 + x2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + -0.175x + x2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.175x + x2 = 0 + -0.7 -0.175x + x2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 -0.175x + x2 = -0.7 The x term is -0.175x. Take half its coefficient (-0.0875). Square it (0.00765625) and add it to both sides. Add '0.00765625' to each side of the equation. -0.175x + 0.00765625 + x2 = -0.7 + 0.00765625 Reorder the terms: 0.00765625 + -0.175x + x2 = -0.7 + 0.00765625 Combine like terms: -0.7 + 0.00765625 = -0.69234375 0.00765625 + -0.175x + x2 = -0.69234375 Factor a perfect square on the left side: (x + -0.0875)(x + -0.0875) = -0.69234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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