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Simplifying 50x + -1x2 = 49 Solving 50x + -1x2 = 49 Solving for variable 'x'. Reorder the terms: -49 + 50x + -1x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + 50x + -1x2 = 0 Factor a trinomial. (-49 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(-49 + x)' equal to zero and attempt to solve: Simplifying -49 + x = 0 Solving -49 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + x = 0 + 49 x = 0 + 49 Combine like terms: 0 + 49 = 49 x = 49 Simplifying x = 49Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {49, 1}
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