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Simplifying 0 = 6x5 + -4x3 Reorder the terms: 0 = -4x3 + 6x5 Solving 0 = -4x3 + 6x5 Solving for variable 'x'. Remove the zero: 4x3 + -6x5 = -4x3 + 6x5 + 4x3 + -6x5 Reorder the terms: 4x3 + -6x5 = -4x3 + 4x3 + 6x5 + -6x5 Combine like terms: -4x3 + 4x3 = 0 4x3 + -6x5 = 0 + 6x5 + -6x5 4x3 + -6x5 = 6x5 + -6x5 Combine like terms: 6x5 + -6x5 = 0 4x3 + -6x5 = 0 Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(2 + -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 '(2 + -3x2)' equal to zero and attempt to solve: Simplifying 2 + -3x2 = 0 Solving 2 + -3x2 = 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 + -3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x2 = 0 + -2 -3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x2 = -2 Divide each side by '-3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}Solution
x = {-0.816496581, 0.816496581}
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