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Simplifying x2 = 2808 + -2x Solving x2 = 2808 + -2x Solving for variable 'x'. Reorder the terms: -2808 + 2x + x2 = 2808 + -2x + -2808 + 2x Reorder the terms: -2808 + 2x + x2 = 2808 + -2808 + -2x + 2x Combine like terms: 2808 + -2808 = 0 -2808 + 2x + x2 = 0 + -2x + 2x -2808 + 2x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -2808 + 2x + x2 = 0 Factor a trinomial. (-54 + -1x)(52 + -1x) = 0Subproblem 1
Set the factor '(-54 + -1x)' equal to zero and attempt to solve: Simplifying -54 + -1x = 0 Solving -54 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -1x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -1x = 0 + 54 -1x = 0 + 54 Combine like terms: 0 + 54 = 54 -1x = 54 Divide each side by '-1'. x = -54 Simplifying x = -54Subproblem 2
Set the factor '(52 + -1x)' equal to zero and attempt to solve: Simplifying 52 + -1x = 0 Solving 52 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -1x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -1x = 0 + -52 -1x = 0 + -52 Combine like terms: 0 + -52 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52Solution
x = {-54, 52}
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