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Simplifying 7X3 + 38X2 + 15X = 0 Reorder the terms: 15X + 38X2 + 7X3 = 0 Solving 15X + 38X2 + 7X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(15 + 38X + 7X2) = 0 Factor a trinomial. X((5 + X)(3 + 7X)) = 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 '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 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 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 3
Set the factor '(3 + 7X)' equal to zero and attempt to solve: Simplifying 3 + 7X = 0 Solving 3 + 7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7X = 0 + -3 7X = 0 + -3 Combine like terms: 0 + -3 = -3 7X = -3 Divide each side by '7'. X = -0.4285714286 Simplifying X = -0.4285714286Solution
X = {0, -5, -0.4285714286}
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