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Simplifying 378 = x2 + -3x Reorder the terms: 378 = -3x + x2 Solving 378 = -3x + x2 Solving for variable 'x'. Reorder the terms: 378 + 3x + -1x2 = -3x + 3x + x2 + -1x2 Combine like terms: -3x + 3x = 0 378 + 3x + -1x2 = 0 + x2 + -1x2 378 + 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 378 + 3x + -1x2 = 0 Factor a trinomial. (21 + -1x)(18 + 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {21, -18}
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