(x+7)(x+4)=0

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Solution for (x+7)(x+4)=0 equation:


Simplifying
(x + 7)(x + 4) = 0

Reorder the terms:
(7 + x)(x + 4) = 0

Reorder the terms:
(7 + x)(4 + x) = 0

Multiply (7 + x) * (4 + x)
(7(4 + x) + x(4 + x)) = 0
((4 * 7 + x * 7) + x(4 + x)) = 0
((28 + 7x) + x(4 + x)) = 0
(28 + 7x + (4 * x + x * x)) = 0
(28 + 7x + (4x + x2)) = 0

Combine like terms: 7x + 4x = 11x
(28 + 11x + x2) = 0

Solving
28 + 11x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + x)(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-7, -4}

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