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Simplifying 9x2 + -6x + 1 = 81 Reorder the terms: 1 + -6x + 9x2 = 81 Solving 1 + -6x + 9x2 = 81 Solving for variable 'x'. Reorder the terms: 1 + -81 + -6x + 9x2 = 81 + -81 Combine like terms: 1 + -81 = -80 -80 + -6x + 9x2 = 81 + -81 Combine like terms: 81 + -81 = 0 -80 + -6x + 9x2 = 0 Factor a trinomial. (-8 + -3x)(10 + -3x) = 0Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {-2.666666667, 3.333333333}
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