(6x+10)(2x+10)=

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Solution for (6x+10)(2x+10)= equation:


Simplifying
(6x + 10)(2x + 10) = 0

Reorder the terms:
(10 + 6x)(2x + 10) = 0

Reorder the terms:
(10 + 6x)(10 + 2x) = 0

Multiply (10 + 6x) * (10 + 2x)
(10(10 + 2x) + 6x * (10 + 2x)) = 0
((10 * 10 + 2x * 10) + 6x * (10 + 2x)) = 0
((100 + 20x) + 6x * (10 + 2x)) = 0
(100 + 20x + (10 * 6x + 2x * 6x)) = 0
(100 + 20x + (60x + 12x2)) = 0

Combine like terms: 20x + 60x = 80x
(100 + 80x + 12x2) = 0

Solving
100 + 80x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + 20x + 3x2) = 0

Factor a trinomial.
4((5 + x)(5 + 3x)) = 0

Ignore the factor 4.

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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-5, -1.666666667}

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