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

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


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

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

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

Multiply (7 + x) * (7 + x)
(7(7 + x) + x(7 + x)) = 16
((7 * 7 + x * 7) + x(7 + x)) = 16
((49 + 7x) + x(7 + x)) = 16
(49 + 7x + (7 * x + x * x)) = 16
(49 + 7x + (7x + x2)) = 16

Combine like terms: 7x + 7x = 14x
(49 + 14x + x2) = 16

Solving
49 + 14x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
49 + -16 + 14x + x2 = 16 + -16

Combine like terms: 49 + -16 = 33
33 + 14x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
33 + 14x + x2 = 0

Factor a trinomial.
(11 + x)(3 + x) = 0

Subproblem 1

Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-11, -3}

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