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Simplifying 42x3 + 40x + 8x = 0 Reorder the terms: 40x + 8x + 42x3 = 0 Combine like terms: 40x + 8x = 48x 48x + 42x3 = 0 Solving 48x + 42x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(8 + 7x2) = 0 Ignore the factor 6.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 '(8 + 7x2)' equal to zero and attempt to solve: Simplifying 8 + 7x2 = 0 Solving 8 + 7x2 = 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 + 7x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x2 = 0 + -8 7x2 = 0 + -8 Combine like terms: 0 + -8 = -8 7x2 = -8 Divide each side by '7'. x2 = -1.142857143 Simplifying x2 = -1.142857143 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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