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Simplifying 5x4(4x + 5) = 0 Reorder the terms: 5x4(5 + 4x) = 0 (5 * 5x4 + 4x * 5x4) = 0 (25x4 + 20x5) = 0 Solving 25x4 + 20x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x4'. 5x4(5 + 4x) = 0 Ignore the factor 5.Subproblem 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 '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {-1.25}
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