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Simplifying 2x * 2x + 3x * 3x * 3x = 0 Reorder the terms for easier multiplication: 2 * 2x * x + 3x * 3x * 3x = 0 Multiply 2 * 2 4x * x + 3x * 3x * 3x = 0 Multiply x * x 4x2 + 3x * 3x * 3x = 0 Reorder the terms for easier multiplication: 4x2 + 3 * 3 * 3x * x * x = 0 Multiply 3 * 3 4x2 + 9 * 3x * x * x = 0 Multiply 9 * 3 4x2 + 27x * x * x = 0 Multiply x * x 4x2 + 27x2 * x = 0 Multiply x2 * x 4x2 + 27x3 = 0 Solving 4x2 + 27x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(4 + 27x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(4 + 27x)' equal to zero and attempt to solve: Simplifying 4 + 27x = 0 Solving 4 + 27x = 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 + 27x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 27x = 0 + -4 27x = 0 + -4 Combine like terms: 0 + -4 = -4 27x = -4 Divide each side by '27'. x = -0.1481481481 Simplifying x = -0.1481481481Solution
x = {0, -0.1481481481}
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