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Simplifying 6x2 + 13x * 8 = 0 Reorder the terms for easier multiplication: 6x2 + 13 * 8x = 0 Multiply 13 * 8 6x2 + 104x = 0 Reorder the terms: 104x + 6x2 = 0 Solving 104x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(52 + 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 '(52 + 3x)' equal to zero and attempt to solve: Simplifying 52 + 3x = 0 Solving 52 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 3x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 3x = 0 + -52 3x = 0 + -52 Combine like terms: 0 + -52 = -52 3x = -52 Divide each side by '3'. x = -17.33333333 Simplifying x = -17.33333333Solution
x = {0, -17.33333333}
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