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Simplifying (200x2) + -9000x + 98938 = 0 Reorder the terms: 98938 + -9000x + (200x2) = 0 Solving 98938 + -9000x + (200x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(49469 + -4500x + (100x2)) = 0 Factor a trinomial. 2((191 + -10x)(259 + -10x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(191 + -10x)' equal to zero and attempt to solve: Simplifying 191 + -10x = 0 Solving 191 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-191' to each side of the equation. 191 + -191 + -10x = 0 + -191 Combine like terms: 191 + -191 = 0 0 + -10x = 0 + -191 -10x = 0 + -191 Combine like terms: 0 + -191 = -191 -10x = -191 Divide each side by '-10'. x = 19.1 Simplifying x = 19.1Subproblem 2
Set the factor '(259 + -10x)' equal to zero and attempt to solve: Simplifying 259 + -10x = 0 Solving 259 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-259' to each side of the equation. 259 + -259 + -10x = 0 + -259 Combine like terms: 259 + -259 = 0 0 + -10x = 0 + -259 -10x = 0 + -259 Combine like terms: 0 + -259 = -259 -10x = -259 Divide each side by '-10'. x = 25.9 Simplifying x = 25.9Solution
x = {19.1, 25.9}
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