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