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Simplifying -1.4x(x) + -2 = -0.9(x) + 5 Multiply x * x -1.4x2 + -2 = -0.9(x) + 5 Reorder the terms: -2 + -1.4x2 = -0.9(x) + 5 Reorder the terms: -2 + -1.4x2 = 5 + -0.9x Solving -2 + -1.4x2 = 5 + -0.9x Solving for variable 'x'. Reorder the terms: -2 + -5 + 0.9x + -1.4x2 = 5 + -0.9x + -5 + 0.9x Combine like terms: -2 + -5 = -7 -7 + 0.9x + -1.4x2 = 5 + -0.9x + -5 + 0.9x Reorder the terms: -7 + 0.9x + -1.4x2 = 5 + -5 + -0.9x + 0.9x Combine like terms: 5 + -5 = 0 -7 + 0.9x + -1.4x2 = 0 + -0.9x + 0.9x -7 + 0.9x + -1.4x2 = -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -7 + 0.9x + -1.4x2 = 0.0 Begin completing the square. Divide all terms by -1.4 the coefficient of the squared term: Divide each side by '-1.4'. 5 + -0.6428571429x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -0.6428571429x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -0.6428571429x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -0.6428571429x + x2 = 0 + -5 -0.6428571429x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -0.6428571429x + x2 = -5 The x term is -0.6428571429x. Take half its coefficient (-0.3214285715). Square it (0.1033163266) and add it to both sides. Add '0.1033163266' to each side of the equation. -0.6428571429x + 0.1033163266 + x2 = -5 + 0.1033163266 Reorder the terms: 0.1033163266 + -0.6428571429x + x2 = -5 + 0.1033163266 Combine like terms: -5 + 0.1033163266 = -4.8966836734 0.1033163266 + -0.6428571429x + x2 = -4.8966836734 Factor a perfect square on the left side: (x + -0.3214285715)(x + -0.3214285715) = -4.8966836734 Can't calculate square root of the right side. The solution to this equation could not be determined.
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