(X+5)(X-2)=60

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Solution for (X+5)(X-2)=60 equation: 


Simplifying
(X + 5)(X + -2) = 60

Reorder the terms:
(5 + X)(X + -2) = 60

Reorder the terms:
(5 + X)(-2 + X) = 60

Multiply (5 + X) * (-2 + X)
(5(-2 + X) + X(-2 + X)) = 60
((-2 * 5 + X * 5) + X(-2 + X)) = 60
((-10 + 5X) + X(-2 + X)) = 60
(-10 + 5X + (-2 * X + X * X)) = 60
(-10 + 5X + (-2X + X2)) = 60

Combine like terms: 5X + -2X = 3X
(-10 + 3X + X2) = 60

Solving
-10 + 3X + X2 = 60

Solving for variable 'X'.

Reorder the terms:
-10 + -60 + 3X + X2 = 60 + -60

Combine like terms: -10 + -60 = -70
-70 + 3X + X2 = 60 + -60

Combine like terms: 60 + -60 = 0
-70 + 3X + X2 = 0

Factor a trinomial.
(-10 + -1X)(7 + -1X) = 0


Subproblem 1
Set the factor '(-10 + -1X)' equal to zero and attempt to solve:

Simplifying
-10 + -1X = 0

Solving
-10 + -1X = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1X = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1X = 0 + 10
-1X = 0 + 10

Combine like terms: 0 + 10 = 10
-1X = 10

Divide each side by '-1'.
X = -10

Simplifying
X = -10

Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve:

Simplifying
7 + -1X = 0

Solving
7 + -1X = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1X = 0 + -7
-1X = 0 + -7

Combine like terms: 0 + -7 = -7
-1X = -7

Divide each side by '-1'.
X = 7

Simplifying
X = 7
Solution
X = {-10, 7}

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