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Simplifying 4x4 + 5x3 + -7x4 = 0 Reorder the terms: 5x3 + 4x4 + -7x4 = 0 Combine like terms: 4x4 + -7x4 = -3x4 5x3 + -3x4 = 0 Solving 5x3 + -3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(5 + -3x) = 0Subproblem 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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {1.666666667}
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