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Simplifying x2 + -200x + 5100 = 0 Reorder the terms: 5100 + -200x + x2 = 0 Solving 5100 + -200x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (30 + -1x)(170 + -1x) = 0Subproblem 1
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 = 30Subproblem 2
Set the factor '(170 + -1x)' equal to zero and attempt to solve: Simplifying 170 + -1x = 0 Solving 170 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-170' to each side of the equation. 170 + -170 + -1x = 0 + -170 Combine like terms: 170 + -170 = 0 0 + -1x = 0 + -170 -1x = 0 + -170 Combine like terms: 0 + -170 = -170 -1x = -170 Divide each side by '-1'. x = 170 Simplifying x = 170Solution
x = {30, 170}
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