5X^2-56X+11=

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Solution for 5X^2-56X+11= equation:


Simplifying
5X2 + -56X + 11 = 0

Reorder the terms:
11 + -56X + 5X2 = 0

Solving
11 + -56X + 5X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(1 + -5X)(11 + -1X) = 0

Subproblem 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 = 0.2

Subproblem 2

Set the factor '(11 + -1X)' equal to zero and attempt to solve: Simplifying 11 + -1X = 0 Solving 11 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1X = 0 + -11 -1X = 0 + -11 Combine like terms: 0 + -11 = -11 -1X = -11 Divide each side by '-1'. X = 11 Simplifying X = 11

Solution

X = {0.2, 11}

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