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Simplifying 9x2 + -5x + 16 = -29x Reorder the terms: 16 + -5x + 9x2 = -29x Solving 16 + -5x + 9x2 = -29x Solving for variable 'x'. Reorder the terms: 16 + -5x + 29x + 9x2 = -29x + 29x Combine like terms: -5x + 29x = 24x 16 + 24x + 9x2 = -29x + 29x Combine like terms: -29x + 29x = 0 16 + 24x + 9x2 = 0 Factor a trinomial. (4 + 3x)(4 + 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 '(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 = -1.333333333Solution
x = {-1.333333333, -1.333333333}
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