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Simplifying 4x3 + 23x2 + 30x = 0 Reorder the terms: 30x + 23x2 + 4x3 = 0 Solving 30x + 23x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(30 + 23x + 4x2) = 0 Factor a trinomial. x((15 + 4x)(2 + x)) = 0Subproblem 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 '(15 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -3.75, -2}
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