(4x+10)(9x+10)=

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Solution for (4x+10)(9x+10)= equation: 


Simplifying
(4x + 10)(9x + 10) = 0

Reorder the terms:
(10 + 4x)(9x + 10) = 0

Reorder the terms:
(10 + 4x)(10 + 9x) = 0

Multiply (10 + 4x) * (10 + 9x)
(10(10 + 9x) + 4x * (10 + 9x)) = 0
((10 * 10 + 9x * 10) + 4x * (10 + 9x)) = 0
((100 + 90x) + 4x * (10 + 9x)) = 0
(100 + 90x + (10 * 4x + 9x * 4x)) = 0
(100 + 90x + (40x + 36x2)) = 0

Combine like terms: 90x + 40x = 130x
(100 + 130x + 36x2) = 0

Solving
100 + 130x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + 65x + 18x2) = 0

Factor a trinomial.
2((5 + 2x)(10 + 9x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111
Solution
x = {-2.5, -1.111111111}

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