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Simplifying 6x5 + -3x4 + 2x5 + 6x4 = 0 Reorder the terms: -3x4 + 6x4 + 6x5 + 2x5 = 0 Combine like terms: -3x4 + 6x4 = 3x4 3x4 + 6x5 + 2x5 = 0 Combine like terms: 6x5 + 2x5 = 8x5 3x4 + 8x5 = 0 Solving 3x4 + 8x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(3 + 8x) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {-0.375}
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