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Simplifying x(x + 7) = 1320 Reorder the terms: x(7 + x) = 1320 (7 * x + x * x) = 1320 (7x + x2) = 1320 Solving 7x + x2 = 1320 Solving for variable 'x'. Reorder the terms: -1320 + 7x + x2 = 1320 + -1320 Combine like terms: 1320 + -1320 = 0 -1320 + 7x + x2 = 0 Factor a trinomial. (-40 + -1x)(33 + -1x) = 0Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40Subproblem 2
Set the factor '(33 + -1x)' equal to zero and attempt to solve: Simplifying 33 + -1x = 0 Solving 33 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -1x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 0 + -33 -1x = 0 + -33 Combine like terms: 0 + -33 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33Solution
x = {-40, 33}
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