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Simplifying 2184 = 19x + 3x2 Solving 2184 = 19x + 3x2 Solving for variable 'x'. Reorder the terms: 2184 + -19x + -3x2 = 19x + -19x + 3x2 + -3x2 Combine like terms: 19x + -19x = 0 2184 + -19x + -3x2 = 0 + 3x2 + -3x2 2184 + -19x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2184 + -19x + -3x2 = 0 Factor a trinomial. (24 + -1x)(91 + 3x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(91 + 3x)' equal to zero and attempt to solve: Simplifying 91 + 3x = 0 Solving 91 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 3x = 0 + -91 Combine like terms: 91 + -91 = 0 0 + 3x = 0 + -91 3x = 0 + -91 Combine like terms: 0 + -91 = -91 3x = -91 Divide each side by '3'. x = -30.33333333 Simplifying x = -30.33333333Solution
x = {24, -30.33333333}
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