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Simplifying 8x2 + -4x = 2x + -9 Reorder the terms: -4x + 8x2 = 2x + -9 Reorder the terms: -4x + 8x2 = -9 + 2x Solving -4x + 8x2 = -9 + 2x Solving for variable 'x'. Reorder the terms: 9 + -4x + -2x + 8x2 = -9 + 2x + 9 + -2x Combine like terms: -4x + -2x = -6x 9 + -6x + 8x2 = -9 + 2x + 9 + -2x Reorder the terms: 9 + -6x + 8x2 = -9 + 9 + 2x + -2x Combine like terms: -9 + 9 = 0 9 + -6x + 8x2 = 0 + 2x + -2x 9 + -6x + 8x2 = 2x + -2x Combine like terms: 2x + -2x = 0 9 + -6x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + -0.75x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -0.75x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -0.75x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -0.75x + x2 = 0 + -1.125 -0.75x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -0.75x + x2 = -1.125 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -1.125 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -1.125 + 0.140625 Combine like terms: -1.125 + 0.140625 = -0.984375 0.140625 + -0.75x + x2 = -0.984375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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