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Simplifying 0 = 230 + 12x + 1.2x2 Solving 0 = 230 + 12x + 1.2x2 Solving for variable 'x'. Combine like terms: 0 + -230 = -230 -230 + -12x + -1.2x2 = 230 + 12x + 1.2x2 + -230 + -12x + -1.2x2 Reorder the terms: -230 + -12x + -1.2x2 = 230 + -230 + 12x + -12x + 1.2x2 + -1.2x2 Combine like terms: 230 + -230 = 0 -230 + -12x + -1.2x2 = 0 + 12x + -12x + 1.2x2 + -1.2x2 -230 + -12x + -1.2x2 = 12x + -12x + 1.2x2 + -1.2x2 Combine like terms: 12x + -12x = 0 -230 + -12x + -1.2x2 = 0 + 1.2x2 + -1.2x2 -230 + -12x + -1.2x2 = 1.2x2 + -1.2x2 Combine like terms: 1.2x2 + -1.2x2 = 0.0 -230 + -12x + -1.2x2 = 0.0 Begin completing the square. Divide all terms by -1.2 the coefficient of the squared term: Divide each side by '-1.2'. 191.6666667 + 10x + x2 = 0 Move the constant term to the right: Add '-191.6666667' to each side of the equation. 191.6666667 + 10x + -191.6666667 + x2 = 0 + -191.6666667 Reorder the terms: 191.6666667 + -191.6666667 + 10x + x2 = 0 + -191.6666667 Combine like terms: 191.6666667 + -191.6666667 = 0.0000000 0.0000000 + 10x + x2 = 0 + -191.6666667 10x + x2 = 0 + -191.6666667 Combine like terms: 0 + -191.6666667 = -191.6666667 10x + x2 = -191.6666667 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -191.6666667 + 25 Reorder the terms: 25 + 10x + x2 = -191.6666667 + 25 Combine like terms: -191.6666667 + 25 = -166.6666667 25 + 10x + x2 = -166.6666667 Factor a perfect square on the left side: (x + 5)(x + 5) = -166.6666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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