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Simplifying x2 + 44x + -3 = 0 Reorder the terms: -3 + 44x + x2 = 0 Solving -3 + 44x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '3' to each side of the equation. -3 + 44x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 44x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 44x + x2 = 0 + 3 44x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 44x + x2 = 3 The x term is 44x. Take half its coefficient (22). Square it (484) and add it to both sides. Add '484' to each side of the equation. 44x + 484 + x2 = 3 + 484 Reorder the terms: 484 + 44x + x2 = 3 + 484 Combine like terms: 3 + 484 = 487 484 + 44x + x2 = 487 Factor a perfect square on the left side: (x + 22)(x + 22) = 487 Calculate the square root of the right side: 22.068076491 Break this problem into two subproblems by setting (x + 22) equal to 22.068076491 and -22.068076491.Subproblem 1
x + 22 = 22.068076491 Simplifying x + 22 = 22.068076491 Reorder the terms: 22 + x = 22.068076491 Solving 22 + x = 22.068076491 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 22.068076491 + -22 Combine like terms: 22 + -22 = 0 0 + x = 22.068076491 + -22 x = 22.068076491 + -22 Combine like terms: 22.068076491 + -22 = 0.068076491 x = 0.068076491 Simplifying x = 0.068076491Subproblem 2
x + 22 = -22.068076491 Simplifying x + 22 = -22.068076491 Reorder the terms: 22 + x = -22.068076491 Solving 22 + x = -22.068076491 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = -22.068076491 + -22 Combine like terms: 22 + -22 = 0 0 + x = -22.068076491 + -22 x = -22.068076491 + -22 Combine like terms: -22.068076491 + -22 = -44.068076491 x = -44.068076491 Simplifying x = -44.068076491Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.068076491, -44.068076491}
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