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Simplifying 2x6 + -16x3 + -3 = 0 Reorder the terms: -3 + -16x3 + 2x6 = 0 Solving -3 + -16x3 + 2x6 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + -8x3 + x6 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -8x3 + 1.5 + x6 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -8x3 + x6 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -8x3 + x6 = 0 + 1.5 -8x3 + x6 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -8x3 + x6 = 1.5 The x term is -8x3. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x3 + 16 + x6 = 1.5 + 16 Reorder the terms: 16 + -8x3 + x6 = 1.5 + 16 Combine like terms: 1.5 + 16 = 17.5 16 + -8x3 + x6 = 17.5 Factor a perfect square on the left side: (x3 + -4)(x3 + -4) = 17.5 Calculate the square root of the right side: 4.183300133 Break this problem into two subproblems by setting (x3 + -4) equal to 4.183300133 and -4.183300133.Subproblem 1
x3 + -4 = 4.183300133 Simplifying x3 + -4 = 4.183300133 Reorder the terms: -4 + x3 = 4.183300133 Solving -4 + x3 = 4.183300133 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x3 = 4.183300133 + 4 Combine like terms: -4 + 4 = 0 0 + x3 = 4.183300133 + 4 x3 = 4.183300133 + 4 Combine like terms: 4.183300133 + 4 = 8.183300133 x3 = 8.183300133 Simplifying x3 = 8.183300133 Reorder the terms: -8.183300133 + x3 = 8.183300133 + -8.183300133 Combine like terms: 8.183300133 + -8.183300133 = 0.000000000 -8.183300133 + x3 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
x3 + -4 = -4.183300133 Simplifying x3 + -4 = -4.183300133 Reorder the terms: -4 + x3 = -4.183300133 Solving -4 + x3 = -4.183300133 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x3 = -4.183300133 + 4 Combine like terms: -4 + 4 = 0 0 + x3 = -4.183300133 + 4 x3 = -4.183300133 + 4 Combine like terms: -4.183300133 + 4 = -0.183300133 x3 = -0.183300133 Simplifying x3 = -0.183300133 Reorder the terms: 0.183300133 + x3 = -0.183300133 + 0.183300133 Combine like terms: -0.183300133 + 0.183300133 = 0.000000000 0.183300133 + x3 = 0.000000000 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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