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Simplifying 8X(6X + 7) = 0 Reorder the terms: 8X(7 + 6X) = 0 (7 * 8X + 6X * 8X) = 0 (56X + 48X2) = 0 Solving 56X + 48X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '8X'. 8X(7 + 6X) = 0 Ignore the factor 8.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 '(7 + 6X)' equal to zero and attempt to solve: Simplifying 7 + 6X = 0 Solving 7 + 6X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6X = 0 + -7 6X = 0 + -7 Combine like terms: 0 + -7 = -7 6X = -7 Divide each side by '6'. X = -1.166666667 Simplifying X = -1.166666667Solution
X = {0, -1.166666667}
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