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Simplifying x5 + -75x4 + 146x3 = 0 Reorder the terms: 146x3 + -75x4 + x5 = 0 Solving 146x3 + -75x4 + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(146 + -75x + x2) = 0 Factor a trinomial. x3((2 + -1x)(73 + -1x)) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 3
Set the factor '(73 + -1x)' equal to zero and attempt to solve: Simplifying 73 + -1x = 0 Solving 73 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + -1x = 0 + -73 Combine like terms: 73 + -73 = 0 0 + -1x = 0 + -73 -1x = 0 + -73 Combine like terms: 0 + -73 = -73 -1x = -73 Divide each side by '-1'. x = 73 Simplifying x = 73Solution
x = {2, 73}
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