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Simplifying 15x5 = 6x3 Solving 15x5 = 6x3 Solving for variable 'x'. Reorder the terms: -6x3 + 15x5 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 -6x3 + 15x5 = 0 Factor out the Greatest Common Factor (GCF), '3x3'. 3x3(-2 + 5x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(-2 + 5x2)' equal to zero and attempt to solve: Simplifying -2 + 5x2 = 0 Solving -2 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x2 = 0 + 2 5x2 = 0 + 2 Combine like terms: 0 + 2 = 2 5x2 = 2 Divide each side by '5'. x2 = 0.4 Simplifying x2 = 0.4 Take the square root of each side: x = {-0.632455532, 0.632455532}Solution
x = {-0.632455532, 0.632455532}
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