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Simplifying 5x10 + -6x5 + -3 = 0 Reorder the terms: -3 + -6x5 + 5x10 = 0 Solving -3 + -6x5 + 5x10 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.6 + -1.2x5 + x10 = 0 Move the constant term to the right: Add '0.6' to each side of the equation. -0.6 + -1.2x5 + 0.6 + x10 = 0 + 0.6 Reorder the terms: -0.6 + 0.6 + -1.2x5 + x10 = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -1.2x5 + x10 = 0 + 0.6 -1.2x5 + x10 = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 -1.2x5 + x10 = 0.6 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 = 0.6 + 0.36 Reorder the terms: 0.36 + -1.2x5 + x10 = 0.6 + 0.36 Combine like terms: 0.6 + 0.36 = 0.96 0.36 + -1.2x5 + x10 = 0.96 Factor a perfect square on the left side: (x5 + -0.6)(x5 + -0.6) = 0.96 Calculate the square root of the right side: 0.979795897 Break this problem into two subproblems by setting (x5 + -0.6) equal to 0.979795897 and -0.979795897.Subproblem 1
x5 + -0.6 = 0.979795897 Simplifying x5 + -0.6 = 0.979795897 Reorder the terms: -0.6 + x5 = 0.979795897 Solving -0.6 + x5 = 0.979795897 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 = 0.979795897 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x5 = 0.979795897 + 0.6 x5 = 0.979795897 + 0.6 Combine like terms: 0.979795897 + 0.6 = 1.579795897 x5 = 1.579795897 Simplifying x5 = 1.579795897 Reorder the terms: -1.579795897 + x5 = 1.579795897 + -1.579795897 Combine like terms: 1.579795897 + -1.579795897 = 0.000000000 -1.579795897 + 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 = -0.979795897 Simplifying x5 + -0.6 = -0.979795897 Reorder the terms: -0.6 + x5 = -0.979795897 Solving -0.6 + x5 = -0.979795897 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 = -0.979795897 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x5 = -0.979795897 + 0.6 x5 = -0.979795897 + 0.6 Combine like terms: -0.979795897 + 0.6 = -0.379795897 x5 = -0.379795897 Simplifying x5 = -0.379795897 Reorder the terms: 0.379795897 + x5 = -0.379795897 + 0.379795897 Combine like terms: -0.379795897 + 0.379795897 = 0.000000000 0.379795897 + 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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