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Simplifying 9x2 = 21x + 8 Reorder the terms: 9x2 = 8 + 21x Solving 9x2 = 8 + 21x Solving for variable 'x'. Reorder the terms: -8 + -21x + 9x2 = 8 + 21x + -8 + -21x Reorder the terms: -8 + -21x + 9x2 = 8 + -8 + 21x + -21x Combine like terms: 8 + -8 = 0 -8 + -21x + 9x2 = 0 + 21x + -21x -8 + -21x + 9x2 = 21x + -21x Combine like terms: 21x + -21x = 0 -8 + -21x + 9x2 = 0 Factor a trinomial. (-1 + -3x)(8 + -3x) = 0Subproblem 1
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 = -0.3333333333Subproblem 2
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 = 2.666666667Solution
x = {-0.3333333333, 2.666666667}
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