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Simplifying x4(7x2 + 38x + 15x) = 0 Reorder the terms: x4(38x + 15x + 7x2) = 0 Combine like terms: 38x + 15x = 53x x4(53x + 7x2) = 0 (53x * x4 + 7x2 * x4) = 0 (53x5 + 7x6) = 0 Solving 53x5 + 7x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x5'. x5(53 + 7x) = 0Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(53 + 7x)' equal to zero and attempt to solve: Simplifying 53 + 7x = 0 Solving 53 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 7x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 7x = 0 + -53 7x = 0 + -53 Combine like terms: 0 + -53 = -53 7x = -53 Divide each side by '7'. x = -7.571428571 Simplifying x = -7.571428571Solution
x = {-7.571428571}
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