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Simplifying (9x)(x + 3) = 10 Remove parenthesis around (9x) 9x(x + 3) = 10 Reorder the terms: 9x(3 + x) = 10 (3 * 9x + x * 9x) = 10 (27x + 9x2) = 10 Solving 27x + 9x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + 27x + 9x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 27x + 9x2 = 0 Factor a trinomial. (-10 + -3x)(1 + -3x) = 0Subproblem 1
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 = -3.333333333Subproblem 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 = {-3.333333333, 0.3333333333}
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