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Simplifying 5x2 + -30x = -81 Reorder the terms: -30x + 5x2 = -81 Solving -30x + 5x2 = -81 Solving for variable 'x'. Reorder the terms: 81 + -30x + 5x2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + -30x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16.2 + -6x + x2 = 0 Move the constant term to the right: Add '-16.2' to each side of the equation. 16.2 + -6x + -16.2 + x2 = 0 + -16.2 Reorder the terms: 16.2 + -16.2 + -6x + x2 = 0 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + -6x + x2 = 0 + -16.2 -6x + x2 = 0 + -16.2 Combine like terms: 0 + -16.2 = -16.2 -6x + x2 = -16.2 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -16.2 + 9 Reorder the terms: 9 + -6x + x2 = -16.2 + 9 Combine like terms: -16.2 + 9 = -7.2 9 + -6x + x2 = -7.2 Factor a perfect square on the left side: (x + -3)(x + -3) = -7.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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