5x^2-56x+155=0

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Solution for 5x^2-56x+155=0 equation:


Simplifying
5x2 + -56x + 155 = 0

Reorder the terms:
155 + -56x + 5x2 = 0

Solving
155 + -56x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(31 + -5x) = 0

Subproblem 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 = 5

Subproblem 2

Set the factor '(31 + -5x)' equal to zero and attempt to solve: Simplifying 31 + -5x = 0 Solving 31 + -5x = 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 + -5x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = 0 + -31 -5x = 0 + -31 Combine like terms: 0 + -31 = -31 -5x = -31 Divide each side by '-5'. x = 6.2 Simplifying x = 6.2

Solution

x = {5, 6.2}

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