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Simplifying 2x2 + 3x = 1224 Reorder the terms: 3x + 2x2 = 1224 Solving 3x + 2x2 = 1224 Solving for variable 'x'. Reorder the terms: -1224 + 3x + 2x2 = 1224 + -1224 Combine like terms: 1224 + -1224 = 0 -1224 + 3x + 2x2 = 0 Factor a trinomial. (-51 + -2x)(24 + -1x) = 0Subproblem 1
Set the factor '(-51 + -2x)' equal to zero and attempt to solve: Simplifying -51 + -2x = 0 Solving -51 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -2x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -2x = 0 + 51 -2x = 0 + 51 Combine like terms: 0 + 51 = 51 -2x = 51 Divide each side by '-2'. x = -25.5 Simplifying x = -25.5Subproblem 2
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 = 24Solution
x = {-25.5, 24}
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