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Simplifying 0.8x2 + -24x + 250 = 0 Reorder the terms: 250 + -24x + 0.8x2 = 0 Solving 250 + -24x + 0.8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.8 the coefficient of the squared term: Divide each side by '0.8'. 312.5 + -30x + x2 = 0 Move the constant term to the right: Add '-312.5' to each side of the equation. 312.5 + -30x + -312.5 + x2 = 0 + -312.5 Reorder the terms: 312.5 + -312.5 + -30x + x2 = 0 + -312.5 Combine like terms: 312.5 + -312.5 = 0.0 0.0 + -30x + x2 = 0 + -312.5 -30x + x2 = 0 + -312.5 Combine like terms: 0 + -312.5 = -312.5 -30x + x2 = -312.5 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 = -312.5 + 225 Reorder the terms: 225 + -30x + x2 = -312.5 + 225 Combine like terms: -312.5 + 225 = -87.5 225 + -30x + x2 = -87.5 Factor a perfect square on the left side: (x + -15)(x + -15) = -87.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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