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Simplifying 9x(x + 1) = 4 Reorder the terms: 9x(1 + x) = 4 (1 * 9x + x * 9x) = 4 (9x + 9x2) = 4 Solving 9x + 9x2 = 4 Solving for variable 'x'. Reorder the terms: -4 + 9x + 9x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 9x + 9x2 = 0 Factor a trinomial. (-4 + -3x)(1 + -3x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 0.3333333333}
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