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Simplifying 54 = x(x + 3) Reorder the terms: 54 = x(3 + x) 54 = (3 * x + x * x) 54 = (3x + x2) Solving 54 = 3x + x2 Solving for variable 'x'. Reorder the terms: 54 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 54 + -3x + -1x2 = 0 + x2 + -1x2 54 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 54 + -3x + -1x2 = 0 Factor a trinomial. (6 + -1x)(9 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {6, -9}
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