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Simplifying 44 = x(x + 7) Reorder the terms: 44 = x(7 + x) 44 = (7 * x + x * x) 44 = (7x + x2) Solving 44 = 7x + x2 Solving for variable 'x'. Reorder the terms: 44 + -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 44 + -7x + -1x2 = 0 + x2 + -1x2 44 + -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 44 + -7x + -1x2 = 0 Factor a trinomial. (4 + -1x)(11 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {4, -11}
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