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Simplifying 6x5 = 8x3 Solving 6x5 = 8x3 Solving for variable 'x'. Reorder the terms: -8x3 + 6x5 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 -8x3 + 6x5 = 0 Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(-4 + 3x2) = 0 Ignore the factor 2.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 '(-4 + 3x2)' equal to zero and attempt to solve: Simplifying -4 + 3x2 = 0 Solving -4 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x2 = 0 + 4 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 3x2 = 4 Divide each side by '3'. x2 = 1.333333333 Simplifying x2 = 1.333333333 Take the square root of each side: x = {-1.154700538, 1.154700538}Solution
x = {-1.154700538, 1.154700538}
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