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Simplifying 8x6 + 999x3 + 125 = 0 Reorder the terms: 125 + 999x3 + 8x6 = 0 Solving 125 + 999x3 + 8x6 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 15.625 + 124.875x3 + x6 = 0 Move the constant term to the right: Add '-15.625' to each side of the equation. 15.625 + 124.875x3 + -15.625 + x6 = 0 + -15.625 Reorder the terms: 15.625 + -15.625 + 124.875x3 + x6 = 0 + -15.625 Combine like terms: 15.625 + -15.625 = 0.000 0.000 + 124.875x3 + x6 = 0 + -15.625 124.875x3 + x6 = 0 + -15.625 Combine like terms: 0 + -15.625 = -15.625 124.875x3 + x6 = -15.625 The x term is 124.875x3. Take half its coefficient (62.4375). Square it (3898.441406) and add it to both sides. Add '3898.441406' to each side of the equation. 124.875x3 + 3898.441406 + x6 = -15.625 + 3898.441406 Reorder the terms: 3898.441406 + 124.875x3 + x6 = -15.625 + 3898.441406 Combine like terms: -15.625 + 3898.441406 = 3882.816406 3898.441406 + 124.875x3 + x6 = 3882.816406 Factor a perfect square on the left side: (x3 + 62.4375)(x3 + 62.4375) = 3882.816406 Calculate the square root of the right side: 62.312249245 Break this problem into two subproblems by setting (x3 + 62.4375) equal to 62.312249245 and -62.312249245.Subproblem 1
x3 + 62.4375 = 62.312249245 Simplifying x3 + 62.4375 = 62.312249245 Reorder the terms: 62.4375 + x3 = 62.312249245 Solving 62.4375 + x3 = 62.312249245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62.4375' to each side of the equation. 62.4375 + -62.4375 + x3 = 62.312249245 + -62.4375 Combine like terms: 62.4375 + -62.4375 = 0.0000 0.0000 + x3 = 62.312249245 + -62.4375 x3 = 62.312249245 + -62.4375 Combine like terms: 62.312249245 + -62.4375 = -0.125250755 x3 = -0.125250755 Simplifying x3 = -0.125250755 Reorder the terms: 0.125250755 + x3 = -0.125250755 + 0.125250755 Combine like terms: -0.125250755 + 0.125250755 = 0.000000000 0.125250755 + 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 + 62.4375 = -62.312249245 Simplifying x3 + 62.4375 = -62.312249245 Reorder the terms: 62.4375 + x3 = -62.312249245 Solving 62.4375 + x3 = -62.312249245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62.4375' to each side of the equation. 62.4375 + -62.4375 + x3 = -62.312249245 + -62.4375 Combine like terms: 62.4375 + -62.4375 = 0.0000 0.0000 + x3 = -62.312249245 + -62.4375 x3 = -62.312249245 + -62.4375 Combine like terms: -62.312249245 + -62.4375 = -124.749749245 x3 = -124.749749245 Simplifying x3 = -124.749749245 Reorder the terms: 124.749749245 + x3 = -124.749749245 + 124.749749245 Combine like terms: -124.749749245 + 124.749749245 = 0.000000000 124.749749245 + 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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