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Simplifying 3X(X + 10) = 6X3 Reorder the terms: 3X(10 + X) = 6X3 (10 * 3X + X * 3X) = 6X3 (30X + 3X2) = 6X3 Solving 30X + 3X2 = 6X3 Solving for variable 'X'. Combine like terms: 6X3 + -6X3 = 0 30X + 3X2 + -6X3 = 0 Factor out the Greatest Common Factor (GCF), '3X'. 3X(10 + X + -2X2) = 0 Factor a trinomial. 3X((5 + -2X)(2 + X)) = 0 Ignore the factor 3.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 = 2.5Subproblem 3
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, 2.5, -2}
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