(2x+6)*(x+5)=

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Solution for (2x+6)*(x+5)= equation:


Simplifying
(2x + 6)(x + 5) = 0

Reorder the terms:
(6 + 2x)(x + 5) = 0

Reorder the terms:
(6 + 2x)(5 + x) = 0

Multiply (6 + 2x) * (5 + x)
(6(5 + x) + 2x * (5 + x)) = 0
((5 * 6 + x * 6) + 2x * (5 + x)) = 0
((30 + 6x) + 2x * (5 + x)) = 0
(30 + 6x + (5 * 2x + x * 2x)) = 0
(30 + 6x + (10x + 2x2)) = 0

Combine like terms: 6x + 10x = 16x
(30 + 16x + 2x2) = 0

Solving
30 + 16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 8x + x2) = 0

Factor a trinomial.
2((5 + x)(3 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

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 = {-5, -3}

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