160=(x+10)(x-2)

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Solution for 160=(x+10)(x-2) equation: 


Simplifying
160 = (x + 10)(x + -2)

Reorder the terms:
160 = (10 + x)(x + -2)

Reorder the terms:
160 = (10 + x)(-2 + x)

Multiply (10 + x) * (-2 + x)
160 = (10(-2 + x) + x(-2 + x))
160 = ((-2 * 10 + x * 10) + x(-2 + x))
160 = ((-20 + 10x) + x(-2 + x))
160 = (-20 + 10x + (-2 * x + x * x))
160 = (-20 + 10x + (-2x + x2))

Combine like terms: 10x + -2x = 8x
160 = (-20 + 8x + x2)

Solving
160 = -20 + 8x + x2

Solving for variable 'x'.

Combine like terms: 160 + 20 = 180
180 + -8x + -1x2 = -20 + 8x + x2 + 20 + -8x + -1x2

Reorder the terms:
180 + -8x + -1x2 = -20 + 20 + 8x + -8x + x2 + -1x2

Combine like terms: -20 + 20 = 0
180 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
180 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
180 + -8x + -1x2 = 0 + x2 + -1x2
180 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
180 + -8x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(18 + x) = 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 '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Solution
x = {10, -18}

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