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Simplifying 26 = -16x2 + 4x + 16 Reorder the terms: 26 = 16 + 4x + -16x2 Solving 26 = 16 + 4x + -16x2 Solving for variable 'x'. Combine like terms: 26 + -16 = 10 10 + -4x + 16x2 = 16 + 4x + -16x2 + -16 + -4x + 16x2 Reorder the terms: 10 + -4x + 16x2 = 16 + -16 + 4x + -4x + -16x2 + 16x2 Combine like terms: 16 + -16 = 0 10 + -4x + 16x2 = 0 + 4x + -4x + -16x2 + 16x2 10 + -4x + 16x2 = 4x + -4x + -16x2 + 16x2 Combine like terms: 4x + -4x = 0 10 + -4x + 16x2 = 0 + -16x2 + 16x2 10 + -4x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 10 + -4x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -2x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -2x + 8x2)' equal to zero and attempt to solve: Simplifying 5 + -2x + 8x2 = 0 Solving 5 + -2x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.25x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.25x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.25x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.25x + x2 = 0 + -0.625 -0.25x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.25x + x2 = -0.625 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -0.625 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -0.625 + 0.015625 Combine like terms: -0.625 + 0.015625 = -0.609375 0.015625 + -0.25x + x2 = -0.609375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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