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Simplifying 3x2 + 20x + 1 = 8 Reorder the terms: 1 + 20x + 3x2 = 8 Solving 1 + 20x + 3x2 = 8 Solving for variable 'x'. Reorder the terms: 1 + -8 + 20x + 3x2 = 8 + -8 Combine like terms: 1 + -8 = -7 -7 + 20x + 3x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -7 + 20x + 3x2 = 0 Factor a trinomial. (-7 + -1x)(1 + -3x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-7, 0.3333333333}
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