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Simplifying 49z2 + 42z = -19 Reorder the terms: 42z + 49z2 = -19 Solving 42z + 49z2 = -19 Solving for variable 'z'. Reorder the terms: 19 + 42z + 49z2 = -19 + 19 Combine like terms: -19 + 19 = 0 19 + 42z + 49z2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.387755102 + 0.8571428571z + z2 = 0 Move the constant term to the right: Add '-0.387755102' to each side of the equation. 0.387755102 + 0.8571428571z + -0.387755102 + z2 = 0 + -0.387755102 Reorder the terms: 0.387755102 + -0.387755102 + 0.8571428571z + z2 = 0 + -0.387755102 Combine like terms: 0.387755102 + -0.387755102 = 0.000000000 0.000000000 + 0.8571428571z + z2 = 0 + -0.387755102 0.8571428571z + z2 = 0 + -0.387755102 Combine like terms: 0 + -0.387755102 = -0.387755102 0.8571428571z + z2 = -0.387755102 The z term is 0.8571428571z. Take half its coefficient (0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. 0.8571428571z + 0.1836734694 + z2 = -0.387755102 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571z + z2 = -0.387755102 + 0.1836734694 Combine like terms: -0.387755102 + 0.1836734694 = -0.2040816326 0.1836734694 + 0.8571428571z + z2 = -0.2040816326 Factor a perfect square on the left side: (z + 0.4285714286)(z + 0.4285714286) = -0.2040816326 Can't calculate square root of the right side. The solution to this equation could not be determined.
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