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Simplifying 4x5 + 2x + -10x4 = 2x Reorder the terms: 2x + -10x4 + 4x5 = 2x Add '-2x' to each side of the equation. 2x + -10x4 + -2x + 4x5 = 2x + -2x Reorder the terms: 2x + -2x + -10x4 + 4x5 = 2x + -2x Combine like terms: 2x + -2x = 0 0 + -10x4 + 4x5 = 2x + -2x -10x4 + 4x5 = 2x + -2x Combine like terms: 2x + -2x = 0 -10x4 + 4x5 = 0 Solving -10x4 + 4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x4'. 2x4(-5 + 2x) = 0 Ignore the factor 2.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 '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Solution
x = {2.5}
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