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Simplifying (6x + 4)(6x + 4) = 0 Reorder the terms: (4 + 6x)(6x + 4) = 0 Reorder the terms: (4 + 6x)(4 + 6x) = 0 Multiply (4 + 6x) * (4 + 6x) (4(4 + 6x) + 6x * (4 + 6x)) = 0 ((4 * 4 + 6x * 4) + 6x * (4 + 6x)) = 0 ((16 + 24x) + 6x * (4 + 6x)) = 0 (16 + 24x + (4 * 6x + 6x * 6x)) = 0 (16 + 24x + (24x + 36x2)) = 0 Combine like terms: 24x + 24x = 48x (16 + 48x + 36x2) = 0 Solving 16 + 48x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 12x + 9x2) = 0 Factor a trinomial. 4((2 + 3x)(2 + 3x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-0.6666666667, -0.6666666667}
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