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Simplifying 0.3x2 + -78x + 13310 = 0 Reorder the terms: 13310 + -78x + 0.3x2 = 0 Solving 13310 + -78x + 0.3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.3 the coefficient of the squared term: Divide each side by '0.3'. 44366.66667 + -260x + x2 = 0 Move the constant term to the right: Add '-44366.66667' to each side of the equation. 44366.66667 + -260x + -44366.66667 + x2 = 0 + -44366.66667 Reorder the terms: 44366.66667 + -44366.66667 + -260x + x2 = 0 + -44366.66667 Combine like terms: 44366.66667 + -44366.66667 = 0.00000 0.00000 + -260x + x2 = 0 + -44366.66667 -260x + x2 = 0 + -44366.66667 Combine like terms: 0 + -44366.66667 = -44366.66667 -260x + x2 = -44366.66667 The x term is -260x. Take half its coefficient (-130). Square it (16900) and add it to both sides. Add '16900' to each side of the equation. -260x + 16900 + x2 = -44366.66667 + 16900 Reorder the terms: 16900 + -260x + x2 = -44366.66667 + 16900 Combine like terms: -44366.66667 + 16900 = -27466.66667 16900 + -260x + x2 = -27466.66667 Factor a perfect square on the left side: (x + -130)(x + -130) = -27466.66667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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