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Simplifying 8X2 + 4X = X2 + -10X Reorder the terms: 4X + 8X2 = X2 + -10X Reorder the terms: 4X + 8X2 = -10X + X2 Solving 4X + 8X2 = -10X + X2 Solving for variable 'X'. Reorder the terms: 4X + 10X + 8X2 + -1X2 = -10X + X2 + 10X + -1X2 Combine like terms: 4X + 10X = 14X 14X + 8X2 + -1X2 = -10X + X2 + 10X + -1X2 Combine like terms: 8X2 + -1X2 = 7X2 14X + 7X2 = -10X + X2 + 10X + -1X2 Reorder the terms: 14X + 7X2 = -10X + 10X + X2 + -1X2 Combine like terms: -10X + 10X = 0 14X + 7X2 = 0 + X2 + -1X2 14X + 7X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 14X + 7X2 = 0 Factor out the Greatest Common Factor (GCF), '7X'. 7X(2 + X) = 0 Ignore the factor 7.Subproblem 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 '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Solution
X = {0, -2}
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