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Simplifying -3x2 + -7x + 1236 = 390 Reorder the terms: 1236 + -7x + -3x2 = 390 Solving 1236 + -7x + -3x2 = 390 Solving for variable 'x'. Reorder the terms: 1236 + -390 + -7x + -3x2 = 390 + -390 Combine like terms: 1236 + -390 = 846 846 + -7x + -3x2 = 390 + -390 Combine like terms: 390 + -390 = 0 846 + -7x + -3x2 = 0 Factor a trinomial. (47 + -3x)(18 + x) = 0Subproblem 1
Set the factor '(47 + -3x)' equal to zero and attempt to solve: Simplifying 47 + -3x = 0 Solving 47 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -3x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = 0 + -47 -3x = 0 + -47 Combine like terms: 0 + -47 = -47 -3x = -47 Divide each side by '-3'. x = 15.66666667 Simplifying x = 15.66666667Subproblem 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 = {15.66666667, -18}
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