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Simplifying x2 + -4x + -1392 = 0 Reorder the terms: -1392 + -4x + x2 = 0 Solving -1392 + -4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '1392' to each side of the equation. -1392 + -4x + 1392 + x2 = 0 + 1392 Reorder the terms: -1392 + 1392 + -4x + x2 = 0 + 1392 Combine like terms: -1392 + 1392 = 0 0 + -4x + x2 = 0 + 1392 -4x + x2 = 0 + 1392 Combine like terms: 0 + 1392 = 1392 -4x + x2 = 1392 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 = 1392 + 4 Reorder the terms: 4 + -4x + x2 = 1392 + 4 Combine like terms: 1392 + 4 = 1396 4 + -4x + x2 = 1396 Factor a perfect square on the left side: (x + -2)(x + -2) = 1396 Calculate the square root of the right side: 37.363083385 Break this problem into two subproblems by setting (x + -2) equal to 37.363083385 and -37.363083385.Subproblem 1
x + -2 = 37.363083385 Simplifying x + -2 = 37.363083385 Reorder the terms: -2 + x = 37.363083385 Solving -2 + x = 37.363083385 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 = 37.363083385 + 2 Combine like terms: -2 + 2 = 0 0 + x = 37.363083385 + 2 x = 37.363083385 + 2 Combine like terms: 37.363083385 + 2 = 39.363083385 x = 39.363083385 Simplifying x = 39.363083385Subproblem 2
x + -2 = -37.363083385 Simplifying x + -2 = -37.363083385 Reorder the terms: -2 + x = -37.363083385 Solving -2 + x = -37.363083385 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 = -37.363083385 + 2 Combine like terms: -2 + 2 = 0 0 + x = -37.363083385 + 2 x = -37.363083385 + 2 Combine like terms: -37.363083385 + 2 = -35.363083385 x = -35.363083385 Simplifying x = -35.363083385Solution
The solution to the problem is based on the solutions from the subproblems. x = {39.363083385, -35.363083385}
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