(X*X)+5X=336

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Solution for (X*X)+5X=336 equation:


Simplifying
(X * X) + 5X = 336

Multiply X * X
(X2) + 5X = 336
X2 + 5X = 336

Reorder the terms:
5X + X2 = 336

Solving
5X + X2 = 336

Solving for variable 'X'.

Reorder the terms:
-336 + 5X + X2 = 336 + -336

Combine like terms: 336 + -336 = 0
-336 + 5X + X2 = 0

Factor a trinomial.
(-21 + -1X)(16 + -1X) = 0

Subproblem 1

Set the factor '(-21 + -1X)' equal to zero and attempt to solve: Simplifying -21 + -1X = 0 Solving -21 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1X = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1X = 0 + 21 -1X = 0 + 21 Combine like terms: 0 + 21 = 21 -1X = 21 Divide each side by '-1'. X = -21 Simplifying X = -21

Subproblem 2

Set the factor '(16 + -1X)' equal to zero and attempt to solve: Simplifying 16 + -1X = 0 Solving 16 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1X = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1X = 0 + -16 -1X = 0 + -16 Combine like terms: 0 + -16 = -16 -1X = -16 Divide each side by '-1'. X = 16 Simplifying X = 16

Solution

X = {-21, 16}

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