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Simplifying 6X2 + 18X = 4X2 + 10X Reorder the terms: 18X + 6X2 = 4X2 + 10X Reorder the terms: 18X + 6X2 = 10X + 4X2 Solving 18X + 6X2 = 10X + 4X2 Solving for variable 'X'. Reorder the terms: 18X + -10X + 6X2 + -4X2 = 10X + 4X2 + -10X + -4X2 Combine like terms: 18X + -10X = 8X 8X + 6X2 + -4X2 = 10X + 4X2 + -10X + -4X2 Combine like terms: 6X2 + -4X2 = 2X2 8X + 2X2 = 10X + 4X2 + -10X + -4X2 Reorder the terms: 8X + 2X2 = 10X + -10X + 4X2 + -4X2 Combine like terms: 10X + -10X = 0 8X + 2X2 = 0 + 4X2 + -4X2 8X + 2X2 = 4X2 + -4X2 Combine like terms: 4X2 + -4X2 = 0 8X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2X'. 2X(4 + X) = 0 Ignore the factor 2.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 '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 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 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Solution
X = {0, -4}
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