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Simplifying 16 + -9c4 + c8 = 0 Solving 16 + -9c4 + c8 = 0 Solving for variable 'c'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -9c4 + -16 + c8 = 0 + -16 Reorder the terms: 16 + -16 + -9c4 + c8 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9c4 + c8 = 0 + -16 -9c4 + c8 = 0 + -16 Combine like terms: 0 + -16 = -16 -9c4 + c8 = -16 The c term is -9c4. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9c4 + 20.25 + c8 = -16 + 20.25 Reorder the terms: 20.25 + -9c4 + c8 = -16 + 20.25 Combine like terms: -16 + 20.25 = 4.25 20.25 + -9c4 + c8 = 4.25 Factor a perfect square on the left side: (c4 + -4.5)(c4 + -4.5) = 4.25 Calculate the square root of the right side: 2.061552813 Break this problem into two subproblems by setting (c4 + -4.5) equal to 2.061552813 and -2.061552813.Subproblem 1
c4 + -4.5 = 2.061552813 Simplifying c4 + -4.5 = 2.061552813 Reorder the terms: -4.5 + c4 = 2.061552813 Solving -4.5 + c4 = 2.061552813 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + c4 = 2.061552813 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + c4 = 2.061552813 + 4.5 c4 = 2.061552813 + 4.5 Combine like terms: 2.061552813 + 4.5 = 6.561552813 c4 = 6.561552813 Simplifying c4 = 6.561552813 Reorder the terms: -6.561552813 + c4 = 6.561552813 + -6.561552813 Combine like terms: 6.561552813 + -6.561552813 = 0.000000000 -6.561552813 + c4 = 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
c4 + -4.5 = -2.061552813 Simplifying c4 + -4.5 = -2.061552813 Reorder the terms: -4.5 + c4 = -2.061552813 Solving -4.5 + c4 = -2.061552813 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + c4 = -2.061552813 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + c4 = -2.061552813 + 4.5 c4 = -2.061552813 + 4.5 Combine like terms: -2.061552813 + 4.5 = 2.438447187 c4 = 2.438447187 Simplifying c4 = 2.438447187 Reorder the terms: -2.438447187 + c4 = 2.438447187 + -2.438447187 Combine like terms: 2.438447187 + -2.438447187 = 0.000000000 -2.438447187 + c4 = 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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