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Simplifying 4x4 + -30x3 + 75x3 = 0 Reorder the terms: -30x3 + 75x3 + 4x4 = 0 Combine like terms: -30x3 + 75x3 = 45x3 45x3 + 4x4 = 0 Solving 45x3 + 4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(45 + 4x) = 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 '(45 + 4x)' equal to zero and attempt to solve: Simplifying 45 + 4x = 0 Solving 45 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 4x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 0 + -45 4x = 0 + -45 Combine like terms: 0 + -45 = -45 4x = -45 Divide each side by '4'. x = -11.25 Simplifying x = -11.25Solution
x = {-11.25}
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