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Simplifying 0 = 3x5 + -10x4 Reorder the terms: 0 = -10x4 + 3x5 Solving 0 = -10x4 + 3x5 Solving for variable 'x'. Remove the zero: 10x4 + -3x5 = -10x4 + 3x5 + 10x4 + -3x5 Reorder the terms: 10x4 + -3x5 = -10x4 + 10x4 + 3x5 + -3x5 Combine like terms: -10x4 + 10x4 = 0 10x4 + -3x5 = 0 + 3x5 + -3x5 10x4 + -3x5 = 3x5 + -3x5 Combine like terms: 3x5 + -3x5 = 0 10x4 + -3x5 = 0 Factor out the Greatest Common Factor (GCF), 'x4'. x4(10 + -3x) = 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 '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {3.333333333}
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