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Simplifying 8X3 + -10X2 + -3X = 0 Reorder the terms: -3X + -10X2 + 8X3 = 0 Solving -3X + -10X2 + 8X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-3 + -10X + 8X2) = 0 Factor a trinomial. X((-1 + -4X)(3 + -2X)) = 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 '(-1 + -4X)' equal to zero and attempt to solve: Simplifying -1 + -4X = 0 Solving -1 + -4X = 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 + -4X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4X = 0 + 1 -4X = 0 + 1 Combine like terms: 0 + 1 = 1 -4X = 1 Divide each side by '-4'. X = -0.25 Simplifying X = -0.25Subproblem 3
Set the factor '(3 + -2X)' equal to zero and attempt to solve: Simplifying 3 + -2X = 0 Solving 3 + -2X = 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 + -2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2X = 0 + -3 -2X = 0 + -3 Combine like terms: 0 + -3 = -3 -2X = -3 Divide each side by '-2'. X = 1.5 Simplifying X = 1.5Solution
X = {0, -0.25, 1.5}
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