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Simplifying 4x2 + -206x + 2580 = 1568 Reorder the terms: 2580 + -206x + 4x2 = 1568 Solving 2580 + -206x + 4x2 = 1568 Solving for variable 'x'. Reorder the terms: 2580 + -1568 + -206x + 4x2 = 1568 + -1568 Combine like terms: 2580 + -1568 = 1012 1012 + -206x + 4x2 = 1568 + -1568 Combine like terms: 1568 + -1568 = 0 1012 + -206x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(506 + -103x + 2x2) = 0 Factor a trinomial. 2((11 + -2x)(46 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Subproblem 2
Set the factor '(46 + -1x)' equal to zero and attempt to solve: Simplifying 46 + -1x = 0 Solving 46 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -1x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -1x = 0 + -46 -1x = 0 + -46 Combine like terms: 0 + -46 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46Solution
x = {5.5, 46}
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