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Simplifying 8x4 + -9x2 + 7 = 0 Reorder the terms: 7 + -9x2 + 8x4 = 0 Solving 7 + -9x2 + 8x4 = 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'. 0.875 + -1.125x2 + x4 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -1.125x2 + -0.875 + x4 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -1.125x2 + x4 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -1.125x2 + x4 = 0 + -0.875 -1.125x2 + x4 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -1.125x2 + x4 = -0.875 The x term is -1.125x2. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125x2 + 0.31640625 + x4 = -0.875 + 0.31640625 Reorder the terms: 0.31640625 + -1.125x2 + x4 = -0.875 + 0.31640625 Combine like terms: -0.875 + 0.31640625 = -0.55859375 0.31640625 + -1.125x2 + x4 = -0.55859375 Factor a perfect square on the left side: (x2 + -0.5625)(x2 + -0.5625) = -0.55859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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