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Simplifying 10X2 + 2X + -8 = 0 Reorder the terms: -8 + 2X + 10X2 = 0 Solving -8 + 2X + 10X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + X + 5X2) = 0 Factor a trinomial. 2((-1 + -1X)(4 + -5X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1X)' equal to zero and attempt to solve: Simplifying -1 + -1X = 0 Solving -1 + -1X = 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 + -1X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1X = 0 + 1 -1X = 0 + 1 Combine like terms: 0 + 1 = 1 -1X = 1 Divide each side by '-1'. X = -1 Simplifying X = -1Subproblem 2
Set the factor '(4 + -5X)' equal to zero and attempt to solve: Simplifying 4 + -5X = 0 Solving 4 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5X = 0 + -4 -5X = 0 + -4 Combine like terms: 0 + -4 = -4 -5X = -4 Divide each side by '-5'. X = 0.8 Simplifying X = 0.8Solution
X = {-1, 0.8}
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