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Simplifying 3x2 + -80x + 1150 = 0 Reorder the terms: 1150 + -80x + 3x2 = 0 Solving 1150 + -80x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 383.3333333 + -26.66666667x + x2 = 0 Move the constant term to the right: Add '-383.3333333' to each side of the equation. 383.3333333 + -26.66666667x + -383.3333333 + x2 = 0 + -383.3333333 Reorder the terms: 383.3333333 + -383.3333333 + -26.66666667x + x2 = 0 + -383.3333333 Combine like terms: 383.3333333 + -383.3333333 = 0.0000000 0.0000000 + -26.66666667x + x2 = 0 + -383.3333333 -26.66666667x + x2 = 0 + -383.3333333 Combine like terms: 0 + -383.3333333 = -383.3333333 -26.66666667x + x2 = -383.3333333 The x term is -26.66666667x. Take half its coefficient (-13.33333334). Square it (177.7777780) and add it to both sides. Add '177.7777780' to each side of the equation. -26.66666667x + 177.7777780 + x2 = -383.3333333 + 177.7777780 Reorder the terms: 177.7777780 + -26.66666667x + x2 = -383.3333333 + 177.7777780 Combine like terms: -383.3333333 + 177.7777780 = -205.5555553 177.7777780 + -26.66666667x + x2 = -205.5555553 Factor a perfect square on the left side: (x + -13.33333334)(x + -13.33333334) = -205.5555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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