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Simplifying 3x2 + 200x = 5200 Reorder the terms: 200x + 3x2 = 5200 Solving 200x + 3x2 = 5200 Solving for variable 'x'. Reorder the terms: -5200 + 200x + 3x2 = 5200 + -5200 Combine like terms: 5200 + -5200 = 0 -5200 + 200x + 3x2 = 0 Factor a trinomial. (-260 + -3x)(20 + -1x) = 0Subproblem 1
Set the factor '(-260 + -3x)' equal to zero and attempt to solve: Simplifying -260 + -3x = 0 Solving -260 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '260' to each side of the equation. -260 + 260 + -3x = 0 + 260 Combine like terms: -260 + 260 = 0 0 + -3x = 0 + 260 -3x = 0 + 260 Combine like terms: 0 + 260 = 260 -3x = 260 Divide each side by '-3'. x = -86.66666667 Simplifying x = -86.66666667Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-86.66666667, 20}
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