(x+11)(x-7)=448

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Solution for (x+11)(x-7)=448 equation: 


Simplifying
(x + 11)(x + -7) = 448

Reorder the terms:
(11 + x)(x + -7) = 448

Reorder the terms:
(11 + x)(-7 + x) = 448

Multiply (11 + x) * (-7 + x)
(11(-7 + x) + x(-7 + x)) = 448
((-7 * 11 + x * 11) + x(-7 + x)) = 448
((-77 + 11x) + x(-7 + x)) = 448
(-77 + 11x + (-7 * x + x * x)) = 448
(-77 + 11x + (-7x + x2)) = 448

Combine like terms: 11x + -7x = 4x
(-77 + 4x + x2) = 448

Solving
-77 + 4x + x2 = 448

Solving for variable 'x'.

Reorder the terms:
-77 + -448 + 4x + x2 = 448 + -448

Combine like terms: -77 + -448 = -525
-525 + 4x + x2 = 448 + -448

Combine like terms: 448 + -448 = 0
-525 + 4x + x2 = 0

Factor a trinomial.
(-25 + -1x)(21 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25

Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Solution
x = {-25, 21}

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