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Simplifying 3x5 + -3x4 = 6x3 + -6x2 Reorder the terms: -3x4 + 3x5 = 6x3 + -6x2 Reorder the terms: -3x4 + 3x5 = -6x2 + 6x3 Solving -3x4 + 3x5 = -6x2 + 6x3 Solving for variable 'x'. Reorder the terms: 6x2 + -6x3 + -3x4 + 3x5 = -6x2 + 6x3 + 6x2 + -6x3 Reorder the terms: 6x2 + -6x3 + -3x4 + 3x5 = -6x2 + 6x2 + 6x3 + -6x3 Combine like terms: -6x2 + 6x2 = 0 6x2 + -6x3 + -3x4 + 3x5 = 0 + 6x3 + -6x3 6x2 + -6x3 + -3x4 + 3x5 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 6x2 + -6x3 + -3x4 + 3x5 = 0 Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(2 + -2x + -1x2 + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(2 + -2x + -1x2 + x3)' equal to zero and attempt to solve: Simplifying 2 + -2x + -1x2 + x3 = 0 Solving 2 + -2x + -1x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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