(2x+51)(5x+9)=

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Solution for (2x+51)(5x+9)= equation: 


Simplifying
(2x + 51)(5x + 9) = 0

Reorder the terms:
(51 + 2x)(5x + 9) = 0

Reorder the terms:
(51 + 2x)(9 + 5x) = 0

Multiply (51 + 2x) * (9 + 5x)
(51(9 + 5x) + 2x * (9 + 5x)) = 0
((9 * 51 + 5x * 51) + 2x * (9 + 5x)) = 0
((459 + 255x) + 2x * (9 + 5x)) = 0
(459 + 255x + (9 * 2x + 5x * 2x)) = 0
(459 + 255x + (18x + 10x2)) = 0

Combine like terms: 255x + 18x = 273x
(459 + 273x + 10x2) = 0

Solving
459 + 273x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(51 + 2x)(9 + 5x) = 0


Subproblem 1
Set the factor '(51 + 2x)' equal to zero and attempt to solve:

Simplifying
51 + 2x = 0

Solving
51 + 2x = 0

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

Add '-51' to each side of the equation.
51 + -51 + 2x = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 2x = 0 + -51
2x = 0 + -51

Combine like terms: 0 + -51 = -51
2x = -51

Divide each side by '2'.
x = -25.5

Simplifying
x = -25.5

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 = {-25.5, -1.8}

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