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Simplifying 4x2 + -51x + 155 = 0 Reorder the terms: 155 + -51x + 4x2 = 0 Solving 155 + -51x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(31 + -4x) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(31 + -4x)' equal to zero and attempt to solve: Simplifying 31 + -4x = 0 Solving 31 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -4x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = 0 + -31 -4x = 0 + -31 Combine like terms: 0 + -31 = -31 -4x = -31 Divide each side by '-4'. x = 7.75 Simplifying x = 7.75Solution
x = {5, 7.75}
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