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Simplifying 2X2 + 10X2 + 8X = 0 Reorder the terms: 8X + 2X2 + 10X2 = 0 Combine like terms: 2X2 + 10X2 = 12X2 8X + 12X2 = 0 Solving 8X + 12X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4X'. 4X(2 + 3X) = 0 Ignore the factor 4.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 + 3X)' equal to zero and attempt to solve: Simplifying 2 + 3X = 0 Solving 2 + 3X = 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 + 3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3X = 0 + -2 3X = 0 + -2 Combine like terms: 0 + -2 = -2 3X = -2 Divide each side by '3'. X = -0.6666666667 Simplifying X = -0.6666666667Solution
X = {0, -0.6666666667}
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