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Simplifying 0 = -3x2 + -8x Reorder the terms: 0 = -8x + -3x2 Solving 0 = -8x + -3x2 Solving for variable 'x'. Remove the zero: 8x + 3x2 = -8x + -3x2 + 8x + 3x2 Reorder the terms: 8x + 3x2 = -8x + 8x + -3x2 + 3x2 Combine like terms: -8x + 8x = 0 8x + 3x2 = 0 + -3x2 + 3x2 8x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 8x + 3x2 = 0 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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