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Simplifying 8x2 + -15x + 40 = 0 Reorder the terms: 40 + -15x + 8x2 = 0 Solving 40 + -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'. 5 + -1.875x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1.875x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -1.875x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1.875x + x2 = 0 + -5 -1.875x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1.875x + x2 = -5 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 = -5 + 0.87890625 Reorder the terms: 0.87890625 + -1.875x + x2 = -5 + 0.87890625 Combine like terms: -5 + 0.87890625 = -4.12109375 0.87890625 + -1.875x + x2 = -4.12109375 Factor a perfect square on the left side: (x + -0.9375)(x + -0.9375) = -4.12109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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