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Simplifying 4x(3x + 40) = 0 Reorder the terms: 4x(40 + 3x) = 0 (40 * 4x + 3x * 4x) = 0 (160x + 12x2) = 0 Solving 160x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(40 + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(40 + 3x)' equal to zero and attempt to solve: Simplifying 40 + 3x = 0 Solving 40 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 3x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 0 + -40 3x = 0 + -40 Combine like terms: 0 + -40 = -40 3x = -40 Divide each side by '3'. x = -13.33333333 Simplifying x = -13.33333333Solution
x = {0, -13.33333333}
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