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Simplifying 3x = 8x3 Solving 3x = 8x3 Solving for variable 'x'. Combine like terms: 8x3 + -8x3 = 0 3x + -8x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -8x2) = 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 + -8x2)' equal to zero and attempt to solve: Simplifying 3 + -8x2 = 0 Solving 3 + -8x2 = 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 + -8x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x2 = 0 + -3 -8x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -8x2 = -3 Divide each side by '-8'. x2 = 0.375 Simplifying x2 = 0.375 Take the square root of each side: x = {-0.612372436, 0.612372436}Solution
x = {0, -0.612372436, 0.612372436}
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