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Simplifying 0.8x2 + -24x + 250 = 25 Reorder the terms: 250 + -24x + 0.8x2 = 25 Solving 250 + -24x + 0.8x2 = 25 Solving for variable 'x'. Reorder the terms: 250 + -25 + -24x + 0.8x2 = 25 + -25 Combine like terms: 250 + -25 = 225 225 + -24x + 0.8x2 = 25 + -25 Combine like terms: 25 + -25 = 0 225 + -24x + 0.8x2 = 0 Begin completing the square. Divide all terms by 0.8 the coefficient of the squared term: Divide each side by '0.8'. 281.25 + -30x + x2 = 0 Move the constant term to the right: Add '-281.25' to each side of the equation. 281.25 + -30x + -281.25 + x2 = 0 + -281.25 Reorder the terms: 281.25 + -281.25 + -30x + x2 = 0 + -281.25 Combine like terms: 281.25 + -281.25 = 0.00 0.00 + -30x + x2 = 0 + -281.25 -30x + x2 = 0 + -281.25 Combine like terms: 0 + -281.25 = -281.25 -30x + x2 = -281.25 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = -281.25 + 225 Reorder the terms: 225 + -30x + x2 = -281.25 + 225 Combine like terms: -281.25 + 225 = -56.25 225 + -30x + x2 = -56.25 Factor a perfect square on the left side: (x + -15)(x + -15) = -56.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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