(2x+3)(4-5x)=

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Solution for (2x+3)(4-5x)= equation: 


Simplifying
(2x + 3)(4 + -5x) = 0

Reorder the terms:
(3 + 2x)(4 + -5x) = 0

Multiply (3 + 2x) * (4 + -5x)
(3(4 + -5x) + 2x * (4 + -5x)) = 0
((4 * 3 + -5x * 3) + 2x * (4 + -5x)) = 0
((12 + -15x) + 2x * (4 + -5x)) = 0
(12 + -15x + (4 * 2x + -5x * 2x)) = 0
(12 + -15x + (8x + -10x2)) = 0

Combine like terms: -15x + 8x = -7x
(12 + -7x + -10x2) = 0

Solving
12 + -7x + -10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -5x)(3 + 2x) = 0


Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0.8, -1.5}

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