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Simplifying 4x3 + 23x3 + -2x = 0 Reorder the terms: -2x + 4x3 + 23x3 = 0 Combine like terms: 4x3 + 23x3 = 27x3 -2x + 27x3 = 0 Solving -2x + 27x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 27x2) = 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 '(-2 + 27x2)' equal to zero and attempt to solve: Simplifying -2 + 27x2 = 0 Solving -2 + 27x2 = 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 + 27x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 27x2 = 0 + 2 27x2 = 0 + 2 Combine like terms: 0 + 2 = 2 27x2 = 2 Divide each side by '27'. x2 = 0.07407407407 Simplifying x2 = 0.07407407407 Take the square root of each side: x = {-0.272165527, 0.272165527}Solution
x = {0, -0.272165527, 0.272165527}
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