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Simplifying 8x2 + -10x + 16 = 0 Reorder the terms: 16 + -10x + 8x2 = 0 Solving 16 + -10x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -5x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -5x + 4x2)' equal to zero and attempt to solve: Simplifying 8 + -5x + 4x2 = 0 Solving 8 + -5x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + -1.25x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.25x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.25x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.25x + x2 = 0 + -2 -1.25x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.25x + x2 = -2 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -2 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -2 + 0.390625 Combine like terms: -2 + 0.390625 = -1.609375 0.390625 + -1.25x + x2 = -1.609375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -1.609375 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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