(8x+19)(9x+90)=

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Solution for (8x+19)(9x+90)= equation: 


Simplifying
(8x + 19)(9x + 90) = 0

Reorder the terms:
(19 + 8x)(9x + 90) = 0

Reorder the terms:
(19 + 8x)(90 + 9x) = 0

Multiply (19 + 8x) * (90 + 9x)
(19(90 + 9x) + 8x * (90 + 9x)) = 0
((90 * 19 + 9x * 19) + 8x * (90 + 9x)) = 0
((1710 + 171x) + 8x * (90 + 9x)) = 0
(1710 + 171x + (90 * 8x + 9x * 8x)) = 0
(1710 + 171x + (720x + 72x2)) = 0

Combine like terms: 171x + 720x = 891x
(1710 + 891x + 72x2) = 0

Solving
1710 + 891x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(190 + 99x + 8x2) = 0

Factor a trinomial.
9((10 + x)(19 + 8x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

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

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

Simplifying
x = -10

Subproblem 2
Set the factor '(19 + 8x)' equal to zero and attempt to solve:

Simplifying
19 + 8x = 0

Solving
19 + 8x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 8x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8x = 0 + -19
8x = 0 + -19

Combine like terms: 0 + -19 = -19
8x = -19

Divide each side by '8'.
x = -2.375

Simplifying
x = -2.375
Solution
x = {-10, -2.375}

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