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Simplifying 49x2 + 90x + -4000 = 0 Reorder the terms: -4000 + 90x + 49x2 = 0 Solving -4000 + 90x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(400 + -49x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(400 + -49x)' equal to zero and attempt to solve: Simplifying 400 + -49x = 0 Solving 400 + -49x = 0 Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -49x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -49x = 0 + -400 -49x = 0 + -400 Combine like terms: 0 + -400 = -400 -49x = -400 Divide each side by '-49'. x = 8.163265306 Simplifying x = 8.163265306Solution
x = {-10, 8.163265306}
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