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Simplifying 49s2 + 12s = -9 Reorder the terms: 12s + 49s2 = -9 Solving 12s + 49s2 = -9 Solving for variable 's'. Reorder the terms: 9 + 12s + 49s2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 12s + 49s2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.1836734694 + 0.2448979592s + s2 = 0 Move the constant term to the right: Add '-0.1836734694' to each side of the equation. 0.1836734694 + 0.2448979592s + -0.1836734694 + s2 = 0 + -0.1836734694 Reorder the terms: 0.1836734694 + -0.1836734694 + 0.2448979592s + s2 = 0 + -0.1836734694 Combine like terms: 0.1836734694 + -0.1836734694 = 0.0000000000 0.0000000000 + 0.2448979592s + s2 = 0 + -0.1836734694 0.2448979592s + s2 = 0 + -0.1836734694 Combine like terms: 0 + -0.1836734694 = -0.1836734694 0.2448979592s + s2 = -0.1836734694 The s term is 0.2448979592s. Take half its coefficient (0.1224489796). Square it (0.01499375261) and add it to both sides. Add '0.01499375261' to each side of the equation. 0.2448979592s + 0.01499375261 + s2 = -0.1836734694 + 0.01499375261 Reorder the terms: 0.01499375261 + 0.2448979592s + s2 = -0.1836734694 + 0.01499375261 Combine like terms: -0.1836734694 + 0.01499375261 = -0.16867971679 0.01499375261 + 0.2448979592s + s2 = -0.16867971679 Factor a perfect square on the left side: (s + 0.1224489796)(s + 0.1224489796) = -0.16867971679 Can't calculate square root of the right side. The solution to this equation could not be determined.
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