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

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


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

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

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

Multiply (2 + x) * (-5 + x)
(2(-5 + x) + x(-5 + x)) = 60
((-5 * 2 + x * 2) + x(-5 + x)) = 60
((-10 + 2x) + x(-5 + x)) = 60
(-10 + 2x + (-5 * x + x * x)) = 60
(-10 + 2x + (-5x + x2)) = 60

Combine like terms: 2x + -5x = -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.
(-7 + -1x)(10 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-7, 10}

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