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Simplifying 8X4 + 10X3 + 3X2 = 0 Reorder the terms: 3X2 + 10X3 + 8X4 = 0 Solving 3X2 + 10X3 + 8X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(3 + 10X + 8X2) = 0 Factor a trinomial. X2((3 + 4X)(1 + 2X)) = 0Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve: Simplifying X2 = 0 Solving X2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2 = 0 Take the square root of each side: X = {0}Subproblem 2
Set the factor '(3 + 4X)' equal to zero and attempt to solve: Simplifying 3 + 4X = 0 Solving 3 + 4X = 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 + 4X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4X = 0 + -3 4X = 0 + -3 Combine like terms: 0 + -3 = -3 4X = -3 Divide each side by '4'. X = -0.75 Simplifying X = -0.75Subproblem 3
Set the factor '(1 + 2X)' equal to zero and attempt to solve: Simplifying 1 + 2X = 0 Solving 1 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X = 0 + -1 2X = 0 + -1 Combine like terms: 0 + -1 = -1 2X = -1 Divide each side by '2'. X = -0.5 Simplifying X = -0.5Solution
X = {0, -0.75, -0.5}
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