(x+7)(x+9)=440

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Solution for (x+7)(x+9)=440 equation:


Simplifying
(x + 7)(x + 9) = 440

Reorder the terms:
(7 + x)(x + 9) = 440

Reorder the terms:
(7 + x)(9 + x) = 440

Multiply (7 + x) * (9 + x)
(7(9 + x) + x(9 + x)) = 440
((9 * 7 + x * 7) + x(9 + x)) = 440
((63 + 7x) + x(9 + x)) = 440
(63 + 7x + (9 * x + x * x)) = 440
(63 + 7x + (9x + x2)) = 440

Combine like terms: 7x + 9x = 16x
(63 + 16x + x2) = 440

Solving
63 + 16x + x2 = 440

Solving for variable 'x'.

Reorder the terms:
63 + -440 + 16x + x2 = 440 + -440

Combine like terms: 63 + -440 = -377
-377 + 16x + x2 = 440 + -440

Combine like terms: 440 + -440 = 0
-377 + 16x + x2 = 0

Factor a trinomial.
(-29 + -1x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-29, 13}

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