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Simplifying 15X2 + 16X = 15 Reorder the terms: 16X + 15X2 = 15 Solving 16X + 15X2 = 15 Solving for variable 'X'. Reorder the terms: -15 + 16X + 15X2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 16X + 15X2 = 0 Factor a trinomial. (-5 + -3X)(3 + -5X) = 0Subproblem 1
Set the factor '(-5 + -3X)' equal to zero and attempt to solve: Simplifying -5 + -3X = 0 Solving -5 + -3X = 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 + -3X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3X = 0 + 5 -3X = 0 + 5 Combine like terms: 0 + 5 = 5 -3X = 5 Divide each side by '-3'. X = -1.666666667 Simplifying X = -1.666666667Subproblem 2
Set the factor '(3 + -5X)' equal to zero and attempt to solve: Simplifying 3 + -5X = 0 Solving 3 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5X = 0 + -3 -5X = 0 + -3 Combine like terms: 0 + -3 = -3 -5X = -3 Divide each side by '-5'. X = 0.6 Simplifying X = 0.6Solution
X = {-1.666666667, 0.6}
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