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Simplifying 0 = 9x2 + -107x + 280 Reorder the terms: 0 = 280 + -107x + 9x2 Solving 0 = 280 + -107x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -280 = -280 -280 + 107x + -9x2 = 280 + -107x + 9x2 + -280 + 107x + -9x2 Reorder the terms: -280 + 107x + -9x2 = 280 + -280 + -107x + 107x + 9x2 + -9x2 Combine like terms: 280 + -280 = 0 -280 + 107x + -9x2 = 0 + -107x + 107x + 9x2 + -9x2 -280 + 107x + -9x2 = -107x + 107x + 9x2 + -9x2 Combine like terms: -107x + 107x = 0 -280 + 107x + -9x2 = 0 + 9x2 + -9x2 -280 + 107x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -280 + 107x + -9x2 = 0 Factor a trinomial. (-8 + x)(35 + -9x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(35 + -9x)' equal to zero and attempt to solve: Simplifying 35 + -9x = 0 Solving 35 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -9x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = 0 + -35 -9x = 0 + -35 Combine like terms: 0 + -35 = -35 -9x = -35 Divide each side by '-9'. x = 3.888888889 Simplifying x = 3.888888889Solution
x = {8, 3.888888889}
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