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Simplifying (3x2) + -1(8x) = 0 Remove parenthesis around (8x) (3x2) + -1 * 8x = 0 Multiply -1 * 8 (3x2) + -8x = 0 Reorder the terms: -8x + (3x2) = 0 Solving -8x + (3x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + (3x)) = 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 '(-8 + (3x))' equal to zero and attempt to solve: Simplifying -8 + (3x) = 0 Solving -8 + (3x) = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + (3x) = 0 + 8 Combine like terms: -8 + 8 = 0 0 + (3x) = 0 + 8 (3x) = 0 + 8 Combine like terms: 0 + 8 = 8 (3x) = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {0, 2.666666667}
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