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Simplifying x * x + 100x + -9600 = 0 Multiply x * x x2 + 100x + -9600 = 0 Reorder the terms: -9600 + 100x + x2 = 0 Solving -9600 + 100x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-160 + -1x)(60 + -1x) = 0Subproblem 1
Set the factor '(-160 + -1x)' equal to zero and attempt to solve: Simplifying -160 + -1x = 0 Solving -160 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '160' to each side of the equation. -160 + 160 + -1x = 0 + 160 Combine like terms: -160 + 160 = 0 0 + -1x = 0 + 160 -1x = 0 + 160 Combine like terms: 0 + 160 = 160 -1x = 160 Divide each side by '-1'. x = -160 Simplifying x = -160Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {-160, 60}
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