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Simplifying 6X2 + 30X = 900 Reorder the terms: 30X + 6X2 = 900 Solving 30X + 6X2 = 900 Solving for variable 'X'. Reorder the terms: -900 + 30X + 6X2 = 900 + -900 Combine like terms: 900 + -900 = 0 -900 + 30X + 6X2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-150 + 5X + X2) = 0 Factor a trinomial. 6((-15 + -1X)(10 + -1X)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-15 + -1X)' equal to zero and attempt to solve: Simplifying -15 + -1X = 0 Solving -15 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1X = 0 + 15 -1X = 0 + 15 Combine like terms: 0 + 15 = 15 -1X = 15 Divide each side by '-1'. X = -15 Simplifying X = -15Subproblem 2
Set the factor '(10 + -1X)' equal to zero and attempt to solve: Simplifying 10 + -1X = 0 Solving 10 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1X = 0 + -10 -1X = 0 + -10 Combine like terms: 0 + -10 = -10 -1X = -10 Divide each side by '-1'. X = 10 Simplifying X = 10Solution
X = {-15, 10}
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