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Simplifying 0 = 28x2 + -12x + 9 Reorder the terms: 0 = 9 + -12x + 28x2 Solving 0 = 9 + -12x + 28x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + 12x + -28x2 = 9 + -12x + 28x2 + -9 + 12x + -28x2 Reorder the terms: -9 + 12x + -28x2 = 9 + -9 + -12x + 12x + 28x2 + -28x2 Combine like terms: 9 + -9 = 0 -9 + 12x + -28x2 = 0 + -12x + 12x + 28x2 + -28x2 -9 + 12x + -28x2 = -12x + 12x + 28x2 + -28x2 Combine like terms: -12x + 12x = 0 -9 + 12x + -28x2 = 0 + 28x2 + -28x2 -9 + 12x + -28x2 = 28x2 + -28x2 Combine like terms: 28x2 + -28x2 = 0 -9 + 12x + -28x2 = 0 Begin completing the square. Divide all terms by -28 the coefficient of the squared term: Divide each side by '-28'. 0.3214285714 + -0.4285714286x + x2 = 0 Move the constant term to the right: Add '-0.3214285714' to each side of the equation. 0.3214285714 + -0.4285714286x + -0.3214285714 + x2 = 0 + -0.3214285714 Reorder the terms: 0.3214285714 + -0.3214285714 + -0.4285714286x + x2 = 0 + -0.3214285714 Combine like terms: 0.3214285714 + -0.3214285714 = 0.0000000000 0.0000000000 + -0.4285714286x + x2 = 0 + -0.3214285714 -0.4285714286x + x2 = 0 + -0.3214285714 Combine like terms: 0 + -0.3214285714 = -0.3214285714 -0.4285714286x + x2 = -0.3214285714 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 = -0.3214285714 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286x + x2 = -0.3214285714 + 0.04591836735 Combine like terms: -0.3214285714 + 0.04591836735 = -0.27551020405 0.04591836735 + -0.4285714286x + x2 = -0.27551020405 Factor a perfect square on the left side: (x + -0.2142857143)(x + -0.2142857143) = -0.27551020405 Can't calculate square root of the right side. The solution to this equation could not be determined.
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