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Simplifying 8X2 + -30X + 13 = 0 Reorder the terms: 13 + -30X + 8X2 = 0 Solving 13 + -30X + 8X2 = 0 Solving for variable 'X'. Factor a trinomial. (1 + -2X)(13 + -4X) = 0Subproblem 1
Set the factor '(1 + -2X)' equal to zero and attempt to solve: Simplifying 1 + -2X = 0 Solving 1 + -2X = 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 + -2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2X = 0 + -1 -2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2X = -1 Divide each side by '-2'. X = 0.5 Simplifying X = 0.5Subproblem 2
Set the factor '(13 + -4X)' equal to zero and attempt to solve: Simplifying 13 + -4X = 0 Solving 13 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4X = 0 + -13 -4X = 0 + -13 Combine like terms: 0 + -13 = -13 -4X = -13 Divide each side by '-4'. X = 3.25 Simplifying X = 3.25Solution
X = {0.5, 3.25}
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