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Simplifying x2 + 4840x + 5248000 = 6467200 Reorder the terms: 5248000 + 4840x + x2 = 6467200 Solving 5248000 + 4840x + x2 = 6467200 Solving for variable 'x'. Reorder the terms: 5248000 + -6467200 + 4840x + x2 = 6467200 + -6467200 Combine like terms: 5248000 + -6467200 = -1219200 -1219200 + 4840x + x2 = 6467200 + -6467200 Combine like terms: 6467200 + -6467200 = 0 -1219200 + 4840x + x2 = 0 Factor a trinomial. (-5080 + -1x)(240 + -1x) = 0Subproblem 1
Set the factor '(-5080 + -1x)' equal to zero and attempt to solve: Simplifying -5080 + -1x = 0 Solving -5080 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5080' to each side of the equation. -5080 + 5080 + -1x = 0 + 5080 Combine like terms: -5080 + 5080 = 0 0 + -1x = 0 + 5080 -1x = 0 + 5080 Combine like terms: 0 + 5080 = 5080 -1x = 5080 Divide each side by '-1'. x = -5080 Simplifying x = -5080Subproblem 2
Set the factor '(240 + -1x)' equal to zero and attempt to solve: Simplifying 240 + -1x = 0 Solving 240 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-240' to each side of the equation. 240 + -240 + -1x = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -1x = 0 + -240 -1x = 0 + -240 Combine like terms: 0 + -240 = -240 -1x = -240 Divide each side by '-1'. x = 240 Simplifying x = 240Solution
x = {-5080, 240}
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