(x-5)(x+1)=280

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Solution for (x-5)(x+1)=280 equation: 


Simplifying
(x + -5)(x + 1) = 280

Reorder the terms:
(-5 + x)(x + 1) = 280

Reorder the terms:
(-5 + x)(1 + x) = 280

Multiply (-5 + x) * (1 + x)
(-5(1 + x) + x(1 + x)) = 280
((1 * -5 + x * -5) + x(1 + x)) = 280
((-5 + -5x) + x(1 + x)) = 280
(-5 + -5x + (1 * x + x * x)) = 280
(-5 + -5x + (1x + x2)) = 280

Combine like terms: -5x + 1x = -4x
(-5 + -4x + x2) = 280

Solving
-5 + -4x + x2 = 280

Solving for variable 'x'.

Reorder the terms:
-5 + -280 + -4x + x2 = 280 + -280

Combine like terms: -5 + -280 = -285
-285 + -4x + x2 = 280 + -280

Combine like terms: 280 + -280 = 0
-285 + -4x + x2 = 0

Factor a trinomial.
(-15 + -1x)(19 + -1x) = 0


Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-15, 19}

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