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Simplifying 30x6 = 6x4 Solving 30x6 = 6x4 Solving for variable 'x'. Reorder the terms: -6x4 + 30x6 = 6x4 + -6x4 Combine like terms: 6x4 + -6x4 = 0 -6x4 + 30x6 = 0 Factor out the Greatest Common Factor (GCF), '6x4'. 6x4(-1 + 5x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(-1 + 5x2)' equal to zero and attempt to solve: Simplifying -1 + 5x2 = 0 Solving -1 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x2 = 0 + 1 5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 5x2 = 1 Divide each side by '5'. x2 = 0.2 Simplifying x2 = 0.2 Take the square root of each side: x = {-0.447213596, 0.447213596}Solution
x = {-0.447213596, 0.447213596}
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