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Simplifying 3x2 + 112 = 2x2 + 22x Reorder the terms: 112 + 3x2 = 2x2 + 22x Reorder the terms: 112 + 3x2 = 22x + 2x2 Solving 112 + 3x2 = 22x + 2x2 Solving for variable 'x'. Reorder the terms: 112 + -22x + 3x2 + -2x2 = 22x + 2x2 + -22x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 112 + -22x + 1x2 = 22x + 2x2 + -22x + -2x2 Reorder the terms: 112 + -22x + 1x2 = 22x + -22x + 2x2 + -2x2 Combine like terms: 22x + -22x = 0 112 + -22x + 1x2 = 0 + 2x2 + -2x2 112 + -22x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 112 + -22x + 1x2 = 0 Factor a trinomial. (8 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {8, 14}
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