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Simplifying 0 = x2 + 6x + -567 Reorder the terms: 0 = -567 + 6x + x2 Solving 0 = -567 + 6x + x2 Solving for variable 'x'. Combine like terms: 0 + 567 = 567 567 + -6x + -1x2 = -567 + 6x + x2 + 567 + -6x + -1x2 Reorder the terms: 567 + -6x + -1x2 = -567 + 567 + 6x + -6x + x2 + -1x2 Combine like terms: -567 + 567 = 0 567 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2 567 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 567 + -6x + -1x2 = 0 + x2 + -1x2 567 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 567 + -6x + -1x2 = 0 Factor a trinomial. (21 + -1x)(27 + x) = 0Subproblem 1
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Subproblem 2
Set the factor '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27Solution
x = {21, -27}
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