(X)(X+16)=80

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Solution for (X)(X+16)=80 equation:


Simplifying
(X)(X + 16) = 80

Reorder the terms:
X(16 + X) = 80
(16 * X + X * X) = 80
(16X + X2) = 80

Solving
16X + X2 = 80

Solving for variable 'X'.

Reorder the terms:
-80 + 16X + X2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 16X + X2 = 0

Factor a trinomial.
(-20 + -1X)(4 + -1X) = 0

Subproblem 1

Set the factor '(-20 + -1X)' equal to zero and attempt to solve: Simplifying -20 + -1X = 0 Solving -20 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1X = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1X = 0 + 20 -1X = 0 + 20 Combine like terms: 0 + 20 = 20 -1X = 20 Divide each side by '-1'. X = -20 Simplifying X = -20

Subproblem 2

Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4

Solution

X = {-20, 4}

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