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Simplifying 44 + -1x(x + -35) = 0 Reorder the terms: 44 + -1x(-35 + x) = 0 44 + (-35 * -1x + x * -1x) = 0 44 + (35x + -1x2) = 0 Solving 44 + 35x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -44 + -35x + x2 = 0 Move the constant term to the right: Add '44' to each side of the equation. -44 + -35x + 44 + x2 = 0 + 44 Reorder the terms: -44 + 44 + -35x + x2 = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -35x + x2 = 0 + 44 -35x + x2 = 0 + 44 Combine like terms: 0 + 44 = 44 -35x + x2 = 44 The x term is -35x. Take half its coefficient (-17.5). Square it (306.25) and add it to both sides. Add '306.25' to each side of the equation. -35x + 306.25 + x2 = 44 + 306.25 Reorder the terms: 306.25 + -35x + x2 = 44 + 306.25 Combine like terms: 44 + 306.25 = 350.25 306.25 + -35x + x2 = 350.25 Factor a perfect square on the left side: (x + -17.5)(x + -17.5) = 350.25 Calculate the square root of the right side: 18.714967272 Break this problem into two subproblems by setting (x + -17.5) equal to 18.714967272 and -18.714967272.Subproblem 1
x + -17.5 = 18.714967272 Simplifying x + -17.5 = 18.714967272 Reorder the terms: -17.5 + x = 18.714967272 Solving -17.5 + x = 18.714967272 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17.5' to each side of the equation. -17.5 + 17.5 + x = 18.714967272 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + x = 18.714967272 + 17.5 x = 18.714967272 + 17.5 Combine like terms: 18.714967272 + 17.5 = 36.214967272 x = 36.214967272 Simplifying x = 36.214967272Subproblem 2
x + -17.5 = -18.714967272 Simplifying x + -17.5 = -18.714967272 Reorder the terms: -17.5 + x = -18.714967272 Solving -17.5 + x = -18.714967272 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17.5' to each side of the equation. -17.5 + 17.5 + x = -18.714967272 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + x = -18.714967272 + 17.5 x = -18.714967272 + 17.5 Combine like terms: -18.714967272 + 17.5 = -1.214967272 x = -1.214967272 Simplifying x = -1.214967272Solution
The solution to the problem is based on the solutions from the subproblems. x = {36.214967272, -1.214967272}
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