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Simplifying 2s * 2s + 7 = -5s + 3 Reorder the terms for easier multiplication: 2 * 2s * s + 7 = -5s + 3 Multiply 2 * 2 4s * s + 7 = -5s + 3 Multiply s * s 4s2 + 7 = -5s + 3 Reorder the terms: 7 + 4s2 = -5s + 3 Reorder the terms: 7 + 4s2 = 3 + -5s Solving 7 + 4s2 = 3 + -5s Solving for variable 's'. Reorder the terms: 7 + -3 + 5s + 4s2 = 3 + -5s + -3 + 5s Combine like terms: 7 + -3 = 4 4 + 5s + 4s2 = 3 + -5s + -3 + 5s Reorder the terms: 4 + 5s + 4s2 = 3 + -3 + -5s + 5s Combine like terms: 3 + -3 = 0 4 + 5s + 4s2 = 0 + -5s + 5s 4 + 5s + 4s2 = -5s + 5s Combine like terms: -5s + 5s = 0 4 + 5s + 4s2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + 1.25s + s2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.25s + -1 + s2 = 0 + -1 Reorder the terms: 1 + -1 + 1.25s + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.25s + s2 = 0 + -1 1.25s + s2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.25s + s2 = -1 The s term is 1.25s. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25s + 0.390625 + s2 = -1 + 0.390625 Reorder the terms: 0.390625 + 1.25s + s2 = -1 + 0.390625 Combine like terms: -1 + 0.390625 = -0.609375 0.390625 + 1.25s + s2 = -0.609375 Factor a perfect square on the left side: (s + 0.625)(s + 0.625) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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