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Simplifying 9 = 3x2 + 10x + 1 Reorder the terms: 9 = 1 + 10x + 3x2 Solving 9 = 1 + 10x + 3x2 Solving for variable 'x'. Combine like terms: 9 + -1 = 8 8 + -10x + -3x2 = 1 + 10x + 3x2 + -1 + -10x + -3x2 Reorder the terms: 8 + -10x + -3x2 = 1 + -1 + 10x + -10x + 3x2 + -3x2 Combine like terms: 1 + -1 = 0 8 + -10x + -3x2 = 0 + 10x + -10x + 3x2 + -3x2 8 + -10x + -3x2 = 10x + -10x + 3x2 + -3x2 Combine like terms: 10x + -10x = 0 8 + -10x + -3x2 = 0 + 3x2 + -3x2 8 + -10x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 8 + -10x + -3x2 = 0 Factor a trinomial. (2 + -3x)(4 + x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0.6666666667, -4}
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