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Simplifying 2x2 + 3x + 2 = 191 Reorder the terms: 2 + 3x + 2x2 = 191 Solving 2 + 3x + 2x2 = 191 Solving for variable 'x'. Reorder the terms: 2 + -191 + 3x + 2x2 = 191 + -191 Combine like terms: 2 + -191 = -189 -189 + 3x + 2x2 = 191 + -191 Combine like terms: 191 + -191 = 0 -189 + 3x + 2x2 = 0 Factor a trinomial. (-21 + -2x)(9 + -1x) = 0Subproblem 1
Set the factor '(-21 + -2x)' equal to zero and attempt to solve: Simplifying -21 + -2x = 0 Solving -21 + -2x = 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 + -2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 0 + 21 -2x = 0 + 21 Combine like terms: 0 + 21 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-10.5, 9}
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