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Simplifying 4X2 + -27X + 35 = 0 Reorder the terms: 35 + -27X + 4X2 = 0 Solving 35 + -27X + 4X2 = 0 Solving for variable 'X'. Factor a trinomial. (7 + -4X)(5 + -1X) = 0Subproblem 1
Set the factor '(7 + -4X)' equal to zero and attempt to solve: Simplifying 7 + -4X = 0 Solving 7 + -4X = 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 + -4X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4X = 0 + -7 -4X = 0 + -7 Combine like terms: 0 + -7 = -7 -4X = -7 Divide each side by '-4'. X = 1.75 Simplifying X = 1.75Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 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 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {1.75, 5}
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