(x+7)(x+16)=0

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Solution for (x+7)(x+16)=0 equation:


Simplifying
(x + 7)(x + 16) = 0

Reorder the terms:
(7 + x)(x + 16) = 0

Reorder the terms:
(7 + x)(16 + x) = 0

Multiply (7 + x) * (16 + x)
(7(16 + x) + x(16 + x)) = 0
((16 * 7 + x * 7) + x(16 + x)) = 0
((112 + 7x) + x(16 + x)) = 0
(112 + 7x + (16 * x + x * x)) = 0
(112 + 7x + (16x + x2)) = 0

Combine like terms: 7x + 16x = 23x
(112 + 23x + x2) = 0

Solving
112 + 23x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + x)(7 + x) = 0

Subproblem 1

Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16

Subproblem 2

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {-16, -7}

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