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Simplifying 1320 = x(x + 7) Reorder the terms: 1320 = x(7 + x) 1320 = (7 * x + x * x) 1320 = (7x + x2) Solving 1320 = 7x + x2 Solving for variable 'x'. Reorder the terms: 1320 + -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 1320 + -7x + -1x2 = 0 + x2 + -1x2 1320 + -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1320 + -7x + -1x2 = 0 Factor a trinomial. (33 + -1x)(40 + x) = 0Subproblem 1
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 = 33Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 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 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {33, -40}
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