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Simplifying 2x2 + 3x + 1 = 45 Reorder the terms: 1 + 3x + 2x2 = 45 Solving 1 + 3x + 2x2 = 45 Solving for variable 'x'. Reorder the terms: 1 + -45 + 3x + 2x2 = 45 + -45 Combine like terms: 1 + -45 = -44 -44 + 3x + 2x2 = 45 + -45 Combine like terms: 45 + -45 = 0 -44 + 3x + 2x2 = 0 Factor a trinomial. (-11 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-5.5, 4}
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