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Simplifying -8x2 + 15x + -9 = 0 Reorder the terms: -9 + 15x + -8x2 = 0 Solving -9 + 15x + -8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1.125 + -1.875x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -1.875x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -1.875x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -1.875x + x2 = 0 + -1.125 -1.875x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -1.875x + x2 = -1.125 The x term is -1.875x. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875x + 0.87890625 + x2 = -1.125 + 0.87890625 Reorder the terms: 0.87890625 + -1.875x + x2 = -1.125 + 0.87890625 Combine like terms: -1.125 + 0.87890625 = -0.24609375 0.87890625 + -1.875x + x2 = -0.24609375 Factor a perfect square on the left side: (x + -0.9375)(x + -0.9375) = -0.24609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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