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Simplifying (3x + 4)(3x + 4) = 0 Reorder the terms: (4 + 3x)(3x + 4) = 0 Reorder the terms: (4 + 3x)(4 + 3x) = 0 Multiply (4 + 3x) * (4 + 3x) (4(4 + 3x) + 3x * (4 + 3x)) = 0 ((4 * 4 + 3x * 4) + 3x * (4 + 3x)) = 0 ((16 + 12x) + 3x * (4 + 3x)) = 0 (16 + 12x + (4 * 3x + 3x * 3x)) = 0 (16 + 12x + (12x + 9x2)) = 0 Combine like terms: 12x + 12x = 24x (16 + 24x + 9x2) = 0 Solving 16 + 24x + 9x2 = 0 Solving for variable 'x'. 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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