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Simplifying 3x5 + -15x5 + 6x4 = 0 Reorder the terms: 6x4 + 3x5 + -15x5 = 0 Combine like terms: 3x5 + -15x5 = -12x5 6x4 + -12x5 = 0 Solving 6x4 + -12x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x4'. 6x4(1 + -2x) = 0 Ignore the factor 6.Subproblem 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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.5}
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