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Simplifying 100x + -1x2 = 291 Solving 100x + -1x2 = 291 Solving for variable 'x'. Reorder the terms: -291 + 100x + -1x2 = 291 + -291 Combine like terms: 291 + -291 = 0 -291 + 100x + -1x2 = 0 Factor a trinomial. (-97 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-97 + x)' equal to zero and attempt to solve: Simplifying -97 + x = 0 Solving -97 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '97' to each side of the equation. -97 + 97 + x = 0 + 97 Combine like terms: -97 + 97 = 0 0 + x = 0 + 97 x = 0 + 97 Combine like terms: 0 + 97 = 97 x = 97 Simplifying x = 97Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {97, 3}
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