(45+2x)(35+2x)=0

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Solution for (45+2x)(35+2x)=0 equation: 


Simplifying
(45 + 2x)(35 + 2x) = 0

Multiply (45 + 2x) * (35 + 2x)
(45(35 + 2x) + 2x * (35 + 2x)) = 0
((35 * 45 + 2x * 45) + 2x * (35 + 2x)) = 0
((1575 + 90x) + 2x * (35 + 2x)) = 0
(1575 + 90x + (35 * 2x + 2x * 2x)) = 0
(1575 + 90x + (70x + 4x2)) = 0

Combine like terms: 90x + 70x = 160x
(1575 + 160x + 4x2) = 0

Solving
1575 + 160x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(45 + 2x)(35 + 2x) = 0


Subproblem 1
Set the factor '(45 + 2x)' equal to zero and attempt to solve:

Simplifying
45 + 2x = 0

Solving
45 + 2x = 0

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

Add '-45' to each side of the equation.
45 + -45 + 2x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 2x = 0 + -45
2x = 0 + -45

Combine like terms: 0 + -45 = -45
2x = -45

Divide each side by '2'.
x = -22.5

Simplifying
x = -22.5

Subproblem 2
Set the factor '(35 + 2x)' equal to zero and attempt to solve:

Simplifying
35 + 2x = 0

Solving
35 + 2x = 0

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

Add '-35' to each side of the equation.
35 + -35 + 2x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 2x = 0 + -35
2x = 0 + -35

Combine like terms: 0 + -35 = -35
2x = -35

Divide each side by '2'.
x = -17.5

Simplifying
x = -17.5
Solution
x = {-22.5, -17.5}

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