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Simplifying (-1x2 + 18x) + 20x = 280 Reorder the terms: (18x + -1x2) + 20x = 280 Remove parenthesis around (18x + -1x2) 18x + -1x2 + 20x = 280 Reorder the terms: 18x + 20x + -1x2 = 280 Combine like terms: 18x + 20x = 38x 38x + -1x2 = 280 Solving 38x + -1x2 = 280 Solving for variable 'x'. Reorder the terms: -280 + 38x + -1x2 = 280 + -280 Combine like terms: 280 + -280 = 0 -280 + 38x + -1x2 = 0 Factor a trinomial. (-28 + x)(10 + -1x) = 0Subproblem 1
Set the factor '(-28 + x)' equal to zero and attempt to solve: Simplifying -28 + x = 0 Solving -28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + x = 0 + 28 x = 0 + 28 Combine like terms: 0 + 28 = 28 x = 28 Simplifying x = 28Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {28, 10}
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