4X(X-4)=5(X+4)-2

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Solution for 4X(X-4)=5(X+4)-2 equation: 


Simplifying
4X(X + -4) = 5(X + 4) + -2

Reorder the terms:
4X(-4 + X) = 5(X + 4) + -2
(-4 * 4X + X * 4X) = 5(X + 4) + -2
(-16X + 4X2) = 5(X + 4) + -2

Reorder the terms:
-16X + 4X2 = 5(4 + X) + -2
-16X + 4X2 = (4 * 5 + X * 5) + -2
-16X + 4X2 = (20 + 5X) + -2

Reorder the terms:
-16X + 4X2 = 20 + -2 + 5X

Combine like terms: 20 + -2 = 18
-16X + 4X2 = 18 + 5X

Solving
-16X + 4X2 = 18 + 5X

Solving for variable 'X'.

Reorder the terms:
-18 + -16X + -5X + 4X2 = 18 + 5X + -18 + -5X

Combine like terms: -16X + -5X = -21X
-18 + -21X + 4X2 = 18 + 5X + -18 + -5X

Reorder the terms:
-18 + -21X + 4X2 = 18 + -18 + 5X + -5X

Combine like terms: 18 + -18 = 0
-18 + -21X + 4X2 = 0 + 5X + -5X
-18 + -21X + 4X2 = 5X + -5X

Combine like terms: 5X + -5X = 0
-18 + -21X + 4X2 = 0

Factor a trinomial.
(-3 + -4X)(6 + -1X) = 0


Subproblem 1
Set the factor '(-3 + -4X)' equal to zero and attempt to solve:

Simplifying
-3 + -4X = 0

Solving
-3 + -4X = 0

Move all terms containing X to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -4X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4X = 0 + 3
-4X = 0 + 3

Combine like terms: 0 + 3 = 3
-4X = 3

Divide each side by '-4'.
X = -0.75

Simplifying
X = -0.75

Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve:

Simplifying
6 + -1X = 0

Solving
6 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 0 + -6
-1X = 0 + -6

Combine like terms: 0 + -6 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6
Solution
X = {-0.75, 6}

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