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Simplifying 6x7 = 2x5 Solving 6x7 = 2x5 Solving for variable 'x'. Reorder the terms: -2x5 + 6x7 = 2x5 + -2x5 Combine like terms: 2x5 + -2x5 = 0 -2x5 + 6x7 = 0 Factor out the Greatest Common Factor (GCF), '2x5'. 2x5(-1 + 3x2) = 0 Ignore the factor 2.Subproblem 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 '(-1 + 3x2)' equal to zero and attempt to solve: Simplifying -1 + 3x2 = 0 Solving -1 + 3x2 = 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 + 3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x2 = 0 + 1 3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x2 = 1 Divide each side by '3'. x2 = 0.3333333333 Simplifying x2 = 0.3333333333 Take the square root of each side: x = {-0.577350269, 0.577350269}Solution
x = {-0.577350269, 0.577350269}
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