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Simplifying (8x3 + -2x) + 3x3 = 0 Reorder the terms: (-2x + 8x3) + 3x3 = 0 Remove parenthesis around (-2x + 8x3) -2x + 8x3 + 3x3 = 0 Combine like terms: 8x3 + 3x3 = 11x3 -2x + 11x3 = 0 Solving -2x + 11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 11x2) = 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 + 11x2)' equal to zero and attempt to solve: Simplifying -2 + 11x2 = 0 Solving -2 + 11x2 = 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 + 11x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11x2 = 0 + 2 11x2 = 0 + 2 Combine like terms: 0 + 2 = 2 11x2 = 2 Divide each side by '11'. x2 = 0.1818181818 Simplifying x2 = 0.1818181818 Take the square root of each side: x = {-0.426401433, 0.426401433}Solution
x = {0, -0.426401433, 0.426401433}
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