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Simplifying 2x2 + -30x + 189 = 0 Reorder the terms: 189 + -30x + 2x2 = 0 Solving 189 + -30x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 94.5 + -15x + x2 = 0 Move the constant term to the right: Add '-94.5' to each side of the equation. 94.5 + -15x + -94.5 + x2 = 0 + -94.5 Reorder the terms: 94.5 + -94.5 + -15x + x2 = 0 + -94.5 Combine like terms: 94.5 + -94.5 = 0.0 0.0 + -15x + x2 = 0 + -94.5 -15x + x2 = 0 + -94.5 Combine like terms: 0 + -94.5 = -94.5 -15x + x2 = -94.5 The x term is -15x. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x + 56.25 + x2 = -94.5 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -94.5 + 56.25 Combine like terms: -94.5 + 56.25 = -38.25 56.25 + -15x + x2 = -38.25 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -38.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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