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Simplifying 10 = -16x2 + 2x + 4 Reorder the terms: 10 = 4 + 2x + -16x2 Solving 10 = 4 + 2x + -16x2 Solving for variable 'x'. Combine like terms: 10 + -4 = 6 6 + -2x + 16x2 = 4 + 2x + -16x2 + -4 + -2x + 16x2 Reorder the terms: 6 + -2x + 16x2 = 4 + -4 + 2x + -2x + -16x2 + 16x2 Combine like terms: 4 + -4 = 0 6 + -2x + 16x2 = 0 + 2x + -2x + -16x2 + 16x2 6 + -2x + 16x2 = 2x + -2x + -16x2 + 16x2 Combine like terms: 2x + -2x = 0 6 + -2x + 16x2 = 0 + -16x2 + 16x2 6 + -2x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 6 + -2x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -1x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x + 8x2)' equal to zero and attempt to solve: Simplifying 3 + -1x + 8x2 = 0 Solving 3 + -1x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + -0.125x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -0.125x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -0.125x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.125x + x2 = 0 + -0.375 -0.125x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -0.125x + x2 = -0.375 The x term is -0.125x. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x + 0.00390625 + x2 = -0.375 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -0.375 + 0.00390625 Combine like terms: -0.375 + 0.00390625 = -0.37109375 0.00390625 + -0.125x + x2 = -0.37109375 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -0.37109375 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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