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Simplifying 0 = -4x2 + -7x + -4 Reorder the terms: 0 = -4 + -7x + -4x2 Solving 0 = -4 + -7x + -4x2 Solving for variable 'x'. Combine like terms: 0 + 4 = 4 4 + 7x + 4x2 = -4 + -7x + -4x2 + 4 + 7x + 4x2 Reorder the terms: 4 + 7x + 4x2 = -4 + 4 + -7x + 7x + -4x2 + 4x2 Combine like terms: -4 + 4 = 0 4 + 7x + 4x2 = 0 + -7x + 7x + -4x2 + 4x2 4 + 7x + 4x2 = -7x + 7x + -4x2 + 4x2 Combine like terms: -7x + 7x = 0 4 + 7x + 4x2 = 0 + -4x2 + 4x2 4 + 7x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 4 + 7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + 1.75x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.75x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.75x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.75x + x2 = 0 + -1 1.75x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.75x + x2 = -1 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 = -1 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -1 + 0.765625 Combine like terms: -1 + 0.765625 = -0.234375 0.765625 + 1.75x + x2 = -0.234375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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