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Simplifying (-6x2) + 8x = 0 Reorder the terms: 8x + (-6x2) = 0 Solving 8x + (-6x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + (-3x)) = 0 Ignore the factor 2.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 '(4 + (-3x))' equal to zero and attempt to solve: Simplifying 4 + (-3x) = 0 Solving 4 + (-3x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + (-3x) = 0 + -4 Combine like terms: 4 + -4 = 0 0 + (-3x) = 0 + -4 (-3x) = 0 + -4 Combine like terms: 0 + -4 = -4 (-3x) = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0, 1.333333333}
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