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Simplifying 2.5x10 + -3x5 = 1.1 Reorder the terms: -3x5 + 2.5x10 = 1.1 Solving -3x5 + 2.5x10 = 1.1 Solving for variable 'x'. Reorder the terms: -1.1 + -3x5 + 2.5x10 = 1.1 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 -1.1 + -3x5 + 2.5x10 = 0.0 Begin completing the square. Divide all terms by 2.5 the coefficient of the squared term: Divide each side by '2.5'. -0.44 + -1.2x5 + x10 = 0 Move the constant term to the right: Add '0.44' to each side of the equation. -0.44 + -1.2x5 + 0.44 + x10 = 0 + 0.44 Reorder the terms: -0.44 + 0.44 + -1.2x5 + x10 = 0 + 0.44 Combine like terms: -0.44 + 0.44 = 0.00 0.00 + -1.2x5 + x10 = 0 + 0.44 -1.2x5 + x10 = 0 + 0.44 Combine like terms: 0 + 0.44 = 0.44 -1.2x5 + x10 = 0.44 The x term is -1.2x5. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x5 + 0.36 + x10 = 0.44 + 0.36 Reorder the terms: 0.36 + -1.2x5 + x10 = 0.44 + 0.36 Combine like terms: 0.44 + 0.36 = 0.8 0.36 + -1.2x5 + x10 = 0.8 Factor a perfect square on the left side: (x5 + -0.6)(x5 + -0.6) = 0.8 Calculate the square root of the right side: 0.894427191 Break this problem into two subproblems by setting (x5 + -0.6) equal to 0.894427191 and -0.894427191.Subproblem 1
x5 + -0.6 = 0.894427191 Simplifying x5 + -0.6 = 0.894427191 Reorder the terms: -0.6 + x5 = 0.894427191 Solving -0.6 + x5 = 0.894427191 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + x5 = 0.894427191 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x5 = 0.894427191 + 0.6 x5 = 0.894427191 + 0.6 Combine like terms: 0.894427191 + 0.6 = 1.494427191 x5 = 1.494427191 Simplifying x5 = 1.494427191 Reorder the terms: -1.494427191 + x5 = 1.494427191 + -1.494427191 Combine like terms: 1.494427191 + -1.494427191 = 0.000000000 -1.494427191 + x5 = 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
x5 + -0.6 = -0.894427191 Simplifying x5 + -0.6 = -0.894427191 Reorder the terms: -0.6 + x5 = -0.894427191 Solving -0.6 + x5 = -0.894427191 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + x5 = -0.894427191 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x5 = -0.894427191 + 0.6 x5 = -0.894427191 + 0.6 Combine like terms: -0.894427191 + 0.6 = -0.294427191 x5 = -0.294427191 Simplifying x5 = -0.294427191 Reorder the terms: 0.294427191 + x5 = -0.294427191 + 0.294427191 Combine like terms: -0.294427191 + 0.294427191 = 0.000000000 0.294427191 + x5 = 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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