=(2x+4)(9x-5)

Solution for =(2x+4)(9x-5) equation:

Simplifying
0 = (2x + 4)(9x + -5)

Reorder the terms:
0 = (4 + 2x)(9x + -5)

Reorder the terms:
0 = (4 + 2x)(-5 + 9x)

Multiply (4 + 2x) * (-5 + 9x)
0 = (4(-5 + 9x) + 2x * (-5 + 9x))
0 = ((-5 * 4 + 9x * 4) + 2x * (-5 + 9x))
0 = ((-20 + 36x) + 2x * (-5 + 9x))
0 = (-20 + 36x + (-5 * 2x + 9x * 2x))
0 = (-20 + 36x + (-10x + 18x2))

Combine like terms: 36x + -10x = 26x
0 = (-20 + 26x + 18x2)

Solving
0 = -20 + 26x + 18x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -26x + -18x2 = -20 + 26x + 18x2 + 20 + -26x + -18x2

Reorder the terms:
20 + -26x + -18x2 = -20 + 20 + 26x + -26x + 18x2 + -18x2

Combine like terms: -20 + 20 = 0
20 + -26x + -18x2 = 0 + 26x + -26x + 18x2 + -18x2
20 + -26x + -18x2 = 26x + -26x + 18x2 + -18x2

Combine like terms: 26x + -26x = 0
20 + -26x + -18x2 = 0 + 18x2 + -18x2
20 + -26x + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
20 + -26x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -13x + -9x2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 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 + -9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 0 + -5
-9x = 0 + -5

Combine like terms: 0 + -5 = -5
-9x = -5

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {0.5555555556, -2}