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Simplifying x(4x + 3)(4x + 3) = 0 Reorder the terms: x(3 + 4x)(4x + 3) = 0 Reorder the terms: x(3 + 4x)(3 + 4x) = 0 Multiply (3 + 4x) * (3 + 4x) x(3(3 + 4x) + 4x * (3 + 4x)) = 0 x((3 * 3 + 4x * 3) + 4x * (3 + 4x)) = 0 x((9 + 12x) + 4x * (3 + 4x)) = 0 x(9 + 12x + (3 * 4x + 4x * 4x)) = 0 x(9 + 12x + (12x + 16x2)) = 0 Combine like terms: 12x + 12x = 24x x(9 + 24x + 16x2) = 0 (9 * x + 24x * x + 16x2 * x) = 0 (9x + 24x2 + 16x3) = 0 Solving 9x + 24x2 + 16x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 24x + 16x2) = 0 Factor a trinomial. x((3 + 4x)(3 + 4x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 3
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0, -0.75, -0.75}
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