(4x+9)(5x+5)=

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Solution for (4x+9)(5x+5)= equation: 


Simplifying
(4x + 9)(5x + 5) = 0

Reorder the terms:
(9 + 4x)(5x + 5) = 0

Reorder the terms:
(9 + 4x)(5 + 5x) = 0

Multiply (9 + 4x) * (5 + 5x)
(9(5 + 5x) + 4x * (5 + 5x)) = 0
((5 * 9 + 5x * 9) + 4x * (5 + 5x)) = 0
((45 + 45x) + 4x * (5 + 5x)) = 0
(45 + 45x + (5 * 4x + 5x * 4x)) = 0
(45 + 45x + (20x + 20x2)) = 0

Combine like terms: 45x + 20x = 65x
(45 + 65x + 20x2) = 0

Solving
45 + 65x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(9 + 13x + 4x2) = 0

Factor a trinomial.
5((9 + 4x)(1 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 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 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-2.25, -1}

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