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Simplifying 555022 = x2 + 6x + 6 Reorder the terms: 555022 = 6 + 6x + x2 Solving 555022 = 6 + 6x + x2 Solving for variable 'x'. Combine like terms: 555022 + -6 = 555016 555016 + -6x + -1x2 = 6 + 6x + x2 + -6 + -6x + -1x2 Reorder the terms: 555016 + -6x + -1x2 = 6 + -6 + 6x + -6x + x2 + -1x2 Combine like terms: 6 + -6 = 0 555016 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2 555016 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 555016 + -6x + -1x2 = 0 + x2 + -1x2 555016 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 555016 + -6x + -1x2 = 0 Factor a trinomial. (742 + -1x)(748 + x) = 0Subproblem 1
Set the factor '(742 + -1x)' equal to zero and attempt to solve: Simplifying 742 + -1x = 0 Solving 742 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-742' to each side of the equation. 742 + -742 + -1x = 0 + -742 Combine like terms: 742 + -742 = 0 0 + -1x = 0 + -742 -1x = 0 + -742 Combine like terms: 0 + -742 = -742 -1x = -742 Divide each side by '-1'. x = 742 Simplifying x = 742Subproblem 2
Set the factor '(748 + x)' equal to zero and attempt to solve: Simplifying 748 + x = 0 Solving 748 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-748' to each side of the equation. 748 + -748 + x = 0 + -748 Combine like terms: 748 + -748 = 0 0 + x = 0 + -748 x = 0 + -748 Combine like terms: 0 + -748 = -748 x = -748 Simplifying x = -748Solution
x = {742, -748}
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