X*X=5X-4

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Solution for X*X=5X-4 equation:


Simplifying
X * X = 5X + -4

Multiply X * X
X2 = 5X + -4

Reorder the terms:
X2 = -4 + 5X

Solving
X2 = -4 + 5X

Solving for variable 'X'.

Reorder the terms:
4 + -5X + X2 = -4 + 5X + 4 + -5X

Reorder the terms:
4 + -5X + X2 = -4 + 4 + 5X + -5X

Combine like terms: -4 + 4 = 0
4 + -5X + X2 = 0 + 5X + -5X
4 + -5X + X2 = 5X + -5X

Combine like terms: 5X + -5X = 0
4 + -5X + X2 = 0

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

Subproblem 1

Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 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 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1

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 = {1, 4}

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