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Simplifying 6(18) = x(x + 23) Multiply 6 * 18 108 = x(x + 23) Reorder the terms: 108 = x(23 + x) 108 = (23 * x + x * x) 108 = (23x + x2) Solving 108 = 23x + x2 Solving for variable 'x'. Reorder the terms: 108 + -23x + -1x2 = 23x + -23x + x2 + -1x2 Combine like terms: 23x + -23x = 0 108 + -23x + -1x2 = 0 + x2 + -1x2 108 + -23x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 108 + -23x + -1x2 = 0 Factor a trinomial. (4 + -1x)(27 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, -27}
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