(x+7)(x+6)=0

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Solution for (x+7)(x+6)=0 equation:


Simplifying
(x + 7)(x + 6) = 0

Reorder the terms:
(7 + x)(x + 6) = 0

Reorder the terms:
(7 + x)(6 + x) = 0

Multiply (7 + x) * (6 + x)
(7(6 + x) + x(6 + x)) = 0
((6 * 7 + x * 7) + x(6 + x)) = 0
((42 + 7x) + x(6 + x)) = 0
(42 + 7x + (6 * x + x * x)) = 0
(42 + 7x + (6x + x2)) = 0

Combine like terms: 7x + 6x = 13x
(42 + 13x + x2) = 0

Solving
42 + 13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + x)(6 + x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {-7, -6}

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