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Simplifying 35x3 + -40x4 = 5x3 Solving 35x3 + -40x4 = 5x3 Solving for variable 'x'. Reorder the terms: 35x3 + -5x3 + -40x4 = 5x3 + -5x3 Combine like terms: 35x3 + -5x3 = 30x3 30x3 + -40x4 = 5x3 + -5x3 Combine like terms: 5x3 + -5x3 = 0 30x3 + -40x4 = 0 Factor out the Greatest Common Factor (GCF), '10x3'. 10x3(3 + -4x) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0.75}
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