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Simplifying 0 = 12X2 + 30X Reorder the terms: 0 = 30X + 12X2 Solving 0 = 30X + 12X2 Solving for variable 'X'. Remove the zero: -30X + -12X2 = 30X + 12X2 + -30X + -12X2 Reorder the terms: -30X + -12X2 = 30X + -30X + 12X2 + -12X2 Combine like terms: 30X + -30X = 0 -30X + -12X2 = 0 + 12X2 + -12X2 -30X + -12X2 = 12X2 + -12X2 Combine like terms: 12X2 + -12X2 = 0 -30X + -12X2 = 0 Factor out the Greatest Common Factor (GCF), '-6X'. -6X(5 + 2X) = 0 Ignore the factor -6.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 '(5 + 2X)' equal to zero and attempt to solve: Simplifying 5 + 2X = 0 Solving 5 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2X = 0 + -5 2X = 0 + -5 Combine like terms: 0 + -5 = -5 2X = -5 Divide each side by '2'. X = -2.5 Simplifying X = -2.5Solution
X = {0, -2.5}
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