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Simplifying x14 + -5x7 + -4 = 0 Reorder the terms: -4 + -5x7 + x14 = 0 Solving -4 + -5x7 + x14 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '4' to each side of the equation. -4 + -5x7 + 4 + x14 = 0 + 4 Reorder the terms: -4 + 4 + -5x7 + x14 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x7 + x14 = 0 + 4 -5x7 + x14 = 0 + 4 Combine like terms: 0 + 4 = 4 -5x7 + x14 = 4 The x term is -5x7. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x7 + 6.25 + x14 = 4 + 6.25 Reorder the terms: 6.25 + -5x7 + x14 = 4 + 6.25 Combine like terms: 4 + 6.25 = 10.25 6.25 + -5x7 + x14 = 10.25 Factor a perfect square on the left side: (x7 + -2.5)(x7 + -2.5) = 10.25 Calculate the square root of the right side: 3.201562119 Break this problem into two subproblems by setting (x7 + -2.5) equal to 3.201562119 and -3.201562119.Subproblem 1
x7 + -2.5 = 3.201562119 Simplifying x7 + -2.5 = 3.201562119 Reorder the terms: -2.5 + x7 = 3.201562119 Solving -2.5 + x7 = 3.201562119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x7 = 3.201562119 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x7 = 3.201562119 + 2.5 x7 = 3.201562119 + 2.5 Combine like terms: 3.201562119 + 2.5 = 5.701562119 x7 = 5.701562119 Simplifying x7 = 5.701562119 Reorder the terms: -5.701562119 + x7 = 5.701562119 + -5.701562119 Combine like terms: 5.701562119 + -5.701562119 = 0.000000000 -5.701562119 + x7 = 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
x7 + -2.5 = -3.201562119 Simplifying x7 + -2.5 = -3.201562119 Reorder the terms: -2.5 + x7 = -3.201562119 Solving -2.5 + x7 = -3.201562119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x7 = -3.201562119 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x7 = -3.201562119 + 2.5 x7 = -3.201562119 + 2.5 Combine like terms: -3.201562119 + 2.5 = -0.701562119 x7 = -0.701562119 Simplifying x7 = -0.701562119 Reorder the terms: 0.701562119 + x7 = -0.701562119 + 0.701562119 Combine like terms: -0.701562119 + 0.701562119 = 0.000000000 0.701562119 + x7 = 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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