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Simplifying 5x(6x2 + 10) = 0 Reorder the terms: 5x(10 + 6x2) = 0 (10 * 5x + 6x2 * 5x) = 0 (50x + 30x3) = 0 Solving 50x + 30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x'. 10x(5 + 3x2) = 0 Ignore the factor 10.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 '(5 + 3x2)' equal to zero and attempt to solve: Simplifying 5 + 3x2 = 0 Solving 5 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x2 = 0 + -5 3x2 = 0 + -5 Combine like terms: 0 + -5 = -5 3x2 = -5 Divide each side by '3'. x2 = -1.666666667 Simplifying x2 = -1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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