(4x-1)(9x-2)=

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Solution for (4x-1)(9x-2)= equation: 


Simplifying
(4x + -1)(9x + -2) = 0

Reorder the terms:
(-1 + 4x)(9x + -2) = 0

Reorder the terms:
(-1 + 4x)(-2 + 9x) = 0

Multiply (-1 + 4x) * (-2 + 9x)
(-1(-2 + 9x) + 4x * (-2 + 9x)) = 0
((-2 * -1 + 9x * -1) + 4x * (-2 + 9x)) = 0
((2 + -9x) + 4x * (-2 + 9x)) = 0
(2 + -9x + (-2 * 4x + 9x * 4x)) = 0
(2 + -9x + (-8x + 36x2)) = 0

Combine like terms: -9x + -8x = -17x
(2 + -17x + 36x2) = 0

Solving
2 + -17x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -9x)(1 + -4x) = 0


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

Simplifying
2 + -9x = 0

Solving
2 + -9x = 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 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {0.2222222222, 0.25}

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