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Simplifying 7x2 + -3x = -12 Reorder the terms: -3x + 7x2 = -12 Solving -3x + 7x2 = -12 Solving for variable 'x'. Reorder the terms: 12 + -3x + 7x2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.714285714 + -0.4285714286x + x2 = 0 Move the constant term to the right: Add '-1.714285714' to each side of the equation. 1.714285714 + -0.4285714286x + -1.714285714 + x2 = 0 + -1.714285714 Reorder the terms: 1.714285714 + -1.714285714 + -0.4285714286x + x2 = 0 + -1.714285714 Combine like terms: 1.714285714 + -1.714285714 = 0.000000000 0.000000000 + -0.4285714286x + x2 = 0 + -1.714285714 -0.4285714286x + x2 = 0 + -1.714285714 Combine like terms: 0 + -1.714285714 = -1.714285714 -0.4285714286x + x2 = -1.714285714 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 = -1.714285714 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286x + x2 = -1.714285714 + 0.04591836735 Combine like terms: -1.714285714 + 0.04591836735 = -1.66836734665 0.04591836735 + -0.4285714286x + x2 = -1.66836734665 Factor a perfect square on the left side: (x + -0.2142857143)(x + -0.2142857143) = -1.66836734665 Can't calculate square root of the right side. The solution to this equation could not be determined.
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