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Simplifying x2 + 4x + -245 = 0 Reorder the terms: -245 + 4x + x2 = 0 Solving -245 + 4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '245' to each side of the equation. -245 + 4x + 245 + x2 = 0 + 245 Reorder the terms: -245 + 245 + 4x + x2 = 0 + 245 Combine like terms: -245 + 245 = 0 0 + 4x + x2 = 0 + 245 4x + x2 = 0 + 245 Combine like terms: 0 + 245 = 245 4x + x2 = 245 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 245 + 4 Reorder the terms: 4 + 4x + x2 = 245 + 4 Combine like terms: 245 + 4 = 249 4 + 4x + x2 = 249 Factor a perfect square on the left side: (x + 2)(x + 2) = 249 Calculate the square root of the right side: 15.779733838 Break this problem into two subproblems by setting (x + 2) equal to 15.779733838 and -15.779733838.Subproblem 1
x + 2 = 15.779733838 Simplifying x + 2 = 15.779733838 Reorder the terms: 2 + x = 15.779733838 Solving 2 + x = 15.779733838 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 15.779733838 + -2 Combine like terms: 2 + -2 = 0 0 + x = 15.779733838 + -2 x = 15.779733838 + -2 Combine like terms: 15.779733838 + -2 = 13.779733838 x = 13.779733838 Simplifying x = 13.779733838Subproblem 2
x + 2 = -15.779733838 Simplifying x + 2 = -15.779733838 Reorder the terms: 2 + x = -15.779733838 Solving 2 + x = -15.779733838 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -15.779733838 + -2 Combine like terms: 2 + -2 = 0 0 + x = -15.779733838 + -2 x = -15.779733838 + -2 Combine like terms: -15.779733838 + -2 = -17.779733838 x = -17.779733838 Simplifying x = -17.779733838Solution
The solution to the problem is based on the solutions from the subproblems. x = {13.779733838, -17.779733838}
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