(X*X)-4X=32

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Solution for (X*X)-4X=32 equation:


Simplifying
(X * X) + -4X = 32

Multiply X * X
(X2) + -4X = 32
X2 + -4X = 32

Reorder the terms:
-4X + X2 = 32

Solving
-4X + X2 = 32

Solving for variable 'X'.

Reorder the terms:
-32 + -4X + X2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + -4X + X2 = 0

Factor a trinomial.
(-4 + -1X)(8 + -1X) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8

Solution

X = {-4, 8}

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