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

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


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

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

Multiply (9 + -4x) * (1 + 2x)
(9(1 + 2x) + -4x * (1 + 2x)) = 0
((1 * 9 + 2x * 9) + -4x * (1 + 2x)) = 0
((9 + 18x) + -4x * (1 + 2x)) = 0
(9 + 18x + (1 * -4x + 2x * -4x)) = 0
(9 + 18x + (-4x + -8x2)) = 0

Combine like terms: 18x + -4x = 14x
(9 + 14x + -8x2) = 0

Solving
9 + 14x + -8x2 = 0

Solving for variable 'x'.

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


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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {2.25, -0.5}

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