(5x+9)(2x+10)=

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Solution for (5x+9)(2x+10)= equation: 


Simplifying
(5x + 9)(2x + 10) = 0

Reorder the terms:
(9 + 5x)(2x + 10) = 0

Reorder the terms:
(9 + 5x)(10 + 2x) = 0

Multiply (9 + 5x) * (10 + 2x)
(9(10 + 2x) + 5x * (10 + 2x)) = 0
((10 * 9 + 2x * 9) + 5x * (10 + 2x)) = 0
((90 + 18x) + 5x * (10 + 2x)) = 0
(90 + 18x + (10 * 5x + 2x * 5x)) = 0
(90 + 18x + (50x + 10x2)) = 0

Combine like terms: 18x + 50x = 68x
(90 + 68x + 10x2) = 0

Solving
90 + 68x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + 34x + 5x2) = 0

Factor a trinomial.
2((5 + x)(9 + 5x)) = 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 '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {-5, -1.8}

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