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Simplifying 15X2 + -5 = 22X Reorder the terms: -5 + 15X2 = 22X Solving -5 + 15X2 = 22X Solving for variable 'X'. Reorder the terms: -5 + -22X + 15X2 = 22X + -22X Combine like terms: 22X + -22X = 0 -5 + -22X + 15X2 = 0 Factor a trinomial. (-1 + -5X)(5 + -3X) = 0Subproblem 1
Set the factor '(-1 + -5X)' equal to zero and attempt to solve: Simplifying -1 + -5X = 0 Solving -1 + -5X = 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 + -5X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5X = 0 + 1 -5X = 0 + 1 Combine like terms: 0 + 1 = 1 -5X = 1 Divide each side by '-5'. X = -0.2 Simplifying X = -0.2Subproblem 2
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 = 1.666666667Solution
X = {-0.2, 1.666666667}
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