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Simplifying x2 + 200x + 9600 = 16500 Reorder the terms: 9600 + 200x + x2 = 16500 Solving 9600 + 200x + x2 = 16500 Solving for variable 'x'. Reorder the terms: 9600 + -16500 + 200x + x2 = 16500 + -16500 Combine like terms: 9600 + -16500 = -6900 -6900 + 200x + x2 = 16500 + -16500 Combine like terms: 16500 + -16500 = 0 -6900 + 200x + x2 = 0 Factor a trinomial. (-230 + -1x)(30 + -1x) = 0Subproblem 1
Set the factor '(-230 + -1x)' equal to zero and attempt to solve: Simplifying -230 + -1x = 0 Solving -230 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '230' to each side of the equation. -230 + 230 + -1x = 0 + 230 Combine like terms: -230 + 230 = 0 0 + -1x = 0 + 230 -1x = 0 + 230 Combine like terms: 0 + 230 = 230 -1x = 230 Divide each side by '-1'. x = -230 Simplifying x = -230Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {-230, 30}
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