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Simplifying 45X2 + 48X + -21 = 0 Reorder the terms: -21 + 48X + 45X2 = 0 Solving -21 + 48X + 45X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 16X + 15X2) = 0 Factor a trinomial. 3((-7 + -5X)(1 + -3X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -5X)' equal to zero and attempt to solve: Simplifying -7 + -5X = 0 Solving -7 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5X = 0 + 7 -5X = 0 + 7 Combine like terms: 0 + 7 = 7 -5X = 7 Divide each side by '-5'. X = -1.4 Simplifying X = -1.4Subproblem 2
Set the factor '(1 + -3X)' equal to zero and attempt to solve: Simplifying 1 + -3X = 0 Solving 1 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3X = 0 + -1 -3X = 0 + -1 Combine like terms: 0 + -1 = -1 -3X = -1 Divide each side by '-3'. X = 0.3333333333 Simplifying X = 0.3333333333Solution
X = {-1.4, 0.3333333333}
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