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Simplifying 50 = -7x2 + -28 + -3x Reorder the terms: 50 = -28 + -3x + -7x2 Solving 50 = -28 + -3x + -7x2 Solving for variable 'x'. Combine like terms: 50 + 28 = 78 78 + 3x + 7x2 = -28 + -3x + -7x2 + 28 + 3x + 7x2 Reorder the terms: 78 + 3x + 7x2 = -28 + 28 + -3x + 3x + -7x2 + 7x2 Combine like terms: -28 + 28 = 0 78 + 3x + 7x2 = 0 + -3x + 3x + -7x2 + 7x2 78 + 3x + 7x2 = -3x + 3x + -7x2 + 7x2 Combine like terms: -3x + 3x = 0 78 + 3x + 7x2 = 0 + -7x2 + 7x2 78 + 3x + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 78 + 3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 11.14285714 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-11.14285714' to each side of the equation. 11.14285714 + 0.4285714286x + -11.14285714 + x2 = 0 + -11.14285714 Reorder the terms: 11.14285714 + -11.14285714 + 0.4285714286x + x2 = 0 + -11.14285714 Combine like terms: 11.14285714 + -11.14285714 = 0.00000000 0.00000000 + 0.4285714286x + x2 = 0 + -11.14285714 0.4285714286x + x2 = 0 + -11.14285714 Combine like terms: 0 + -11.14285714 = -11.14285714 0.4285714286x + x2 = -11.14285714 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -11.14285714 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -11.14285714 + 0.04591836735 Combine like terms: -11.14285714 + 0.04591836735 = -11.09693877265 0.04591836735 + 0.4285714286x + x2 = -11.09693877265 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -11.09693877265 Can't calculate square root of the right side. The solution to this equation could not be determined.
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