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Simplifying -9x4 = 0.48x2 + 64 Reorder the terms: -9x4 = 64 + 0.48x2 Solving -9x4 = 64 + 0.48x2 Solving for variable 'x'. Reorder the terms: -64 + -0.48x2 + -9x4 = 64 + 0.48x2 + -64 + -0.48x2 Reorder the terms: -64 + -0.48x2 + -9x4 = 64 + -64 + 0.48x2 + -0.48x2 Combine like terms: 64 + -64 = 0 -64 + -0.48x2 + -9x4 = 0 + 0.48x2 + -0.48x2 -64 + -0.48x2 + -9x4 = 0.48x2 + -0.48x2 Combine like terms: 0.48x2 + -0.48x2 = 0.00 -64 + -0.48x2 + -9x4 = 0.00 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 7.111111111 + 0.05333333333x2 + x4 = 0.00 Move the constant term to the right: Add '-7.111111111' to each side of the equation. 7.111111111 + 0.05333333333x2 + -7.111111111 + x4 = 0.00 + -7.111111111 Reorder the terms: 7.111111111 + -7.111111111 + 0.05333333333x2 + x4 = 0.00 + -7.111111111 Combine like terms: 7.111111111 + -7.111111111 = 0.000000000 0.000000000 + 0.05333333333x2 + x4 = 0.00 + -7.111111111 0.05333333333x2 + x4 = 0.00 + -7.111111111 Combine like terms: 0.00 + -7.111111111 = -7.111111111 0.05333333333x2 + x4 = -7.111111111 The x term is 0.05333333333x2. Take half its coefficient (0.02666666667). Square it (0.0007111111113) and add it to both sides. Add '0.0007111111113' to each side of the equation. 0.05333333333x2 + 0.0007111111113 + x4 = -7.111111111 + 0.0007111111113 Reorder the terms: 0.0007111111113 + 0.05333333333x2 + x4 = -7.111111111 + 0.0007111111113 Combine like terms: -7.111111111 + 0.0007111111113 = -7.1103999998887 0.0007111111113 + 0.05333333333x2 + x4 = -7.1103999998887 Factor a perfect square on the left side: (x2 + 0.02666666667)(x2 + 0.02666666667) = -7.1103999998887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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