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Simplifying 6x = 23x3 + 4x3 Combine like terms: 23x3 + 4x3 = 27x3 6x = 27x3 Solving 6x = 27x3 Solving for variable 'x'. Combine like terms: 27x3 + -27x3 = 0 6x + -27x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + -9x2) = 0 Ignore the factor 3.Subproblem 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 + -9x2)' equal to zero and attempt to solve: Simplifying 2 + -9x2 = 0 Solving 2 + -9x2 = 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 + -9x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x2 = 0 + -2 -9x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -9x2 = -2 Divide each side by '-9'. x2 = 0.2222222222 Simplifying x2 = 0.2222222222 Take the square root of each side: x = {-0.471404521, 0.471404521}Solution
x = {0, -0.471404521, 0.471404521}
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