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Simplifying 0 = 0.42x2 + -3.2x + 48 Reorder the terms: 0 = 48 + -3.2x + 0.42x2 Solving 0 = 48 + -3.2x + 0.42x2 Solving for variable 'x'. Combine like terms: 0 + -48 = -48 -48 + 3.2x + -0.42x2 = 48 + -3.2x + 0.42x2 + -48 + 3.2x + -0.42x2 Reorder the terms: -48 + 3.2x + -0.42x2 = 48 + -48 + -3.2x + 3.2x + 0.42x2 + -0.42x2 Combine like terms: 48 + -48 = 0 -48 + 3.2x + -0.42x2 = 0 + -3.2x + 3.2x + 0.42x2 + -0.42x2 -48 + 3.2x + -0.42x2 = -3.2x + 3.2x + 0.42x2 + -0.42x2 Combine like terms: -3.2x + 3.2x = 0.0 -48 + 3.2x + -0.42x2 = 0.0 + 0.42x2 + -0.42x2 -48 + 3.2x + -0.42x2 = 0.42x2 + -0.42x2 Combine like terms: 0.42x2 + -0.42x2 = 0.00 -48 + 3.2x + -0.42x2 = 0.00 Begin completing the square. Divide all terms by -0.42 the coefficient of the squared term: Divide each side by '-0.42'. 114.2857143 + -7.619047619x + x2 = 0 Move the constant term to the right: Add '-114.2857143' to each side of the equation. 114.2857143 + -7.619047619x + -114.2857143 + x2 = 0 + -114.2857143 Reorder the terms: 114.2857143 + -114.2857143 + -7.619047619x + x2 = 0 + -114.2857143 Combine like terms: 114.2857143 + -114.2857143 = 0.0000000 0.0000000 + -7.619047619x + x2 = 0 + -114.2857143 -7.619047619x + x2 = 0 + -114.2857143 Combine like terms: 0 + -114.2857143 = -114.2857143 -7.619047619x + x2 = -114.2857143 The x term is -7.619047619x. Take half its coefficient (-3.80952381). Square it (14.51247166) and add it to both sides. Add '14.51247166' to each side of the equation. -7.619047619x + 14.51247166 + x2 = -114.2857143 + 14.51247166 Reorder the terms: 14.51247166 + -7.619047619x + x2 = -114.2857143 + 14.51247166 Combine like terms: -114.2857143 + 14.51247166 = -99.77324264 14.51247166 + -7.619047619x + x2 = -99.77324264 Factor a perfect square on the left side: (x + -3.80952381)(x + -3.80952381) = -99.77324264 Can't calculate square root of the right side. The solution to this equation could not be determined.
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