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Simplifying 4x2 + 7x + 40 = 0 Reorder the terms: 40 + 7x + 4x2 = 0 Solving 40 + 7x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10 + 1.75x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 1.75x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 1.75x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1.75x + x2 = 0 + -10 1.75x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 1.75x + x2 = -10 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -10 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -10 + 0.765625 Combine like terms: -10 + 0.765625 = -9.234375 0.765625 + 1.75x + x2 = -9.234375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -9.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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