480=(4+X)X

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Solution for 480=(4+X)X equation:


Simplifying
480 = (4 + X) * X

Reorder the terms for easier multiplication:
480 = X(4 + X)
480 = (4 * X + X * X)
480 = (4X + X2)

Solving
480 = 4X + X2

Solving for variable 'X'.

Reorder the terms:
480 + -4X + -1X2 = 4X + -4X + X2 + -1X2

Combine like terms: 4X + -4X = 0
480 + -4X + -1X2 = 0 + X2 + -1X2
480 + -4X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
480 + -4X + -1X2 = 0

Factor a trinomial.
(20 + -1X)(24 + X) = 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 '(24 + X)' equal to zero and attempt to solve: Simplifying 24 + X = 0 Solving 24 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + X = 0 + -24 Combine like terms: 24 + -24 = 0 0 + X = 0 + -24 X = 0 + -24 Combine like terms: 0 + -24 = -24 X = -24 Simplifying X = -24

Solution

X = {20, -24}

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