(x+7)(x-2)=360

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Solution for (x+7)(x-2)=360 equation: 


Simplifying
(x + 7)(x + -2) = 360

Reorder the terms:
(7 + x)(x + -2) = 360

Reorder the terms:
(7 + x)(-2 + x) = 360

Multiply (7 + x) * (-2 + x)
(7(-2 + x) + x(-2 + x)) = 360
((-2 * 7 + x * 7) + x(-2 + x)) = 360
((-14 + 7x) + x(-2 + x)) = 360
(-14 + 7x + (-2 * x + x * x)) = 360
(-14 + 7x + (-2x + x2)) = 360

Combine like terms: 7x + -2x = 5x
(-14 + 5x + x2) = 360

Solving
-14 + 5x + x2 = 360

Solving for variable 'x'.

Reorder the terms:
-14 + -360 + 5x + x2 = 360 + -360

Combine like terms: -14 + -360 = -374
-374 + 5x + x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-374 + 5x + x2 = 0

Factor a trinomial.
(-22 + -1x)(17 + -1x) = 0


Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-22, 17}

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