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

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


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

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

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

Multiply (3 + 4x) * (4 + 5x)
(3(4 + 5x) + 4x * (4 + 5x)) = 0
((4 * 3 + 5x * 3) + 4x * (4 + 5x)) = 0
((12 + 15x) + 4x * (4 + 5x)) = 0
(12 + 15x + (4 * 4x + 5x * 4x)) = 0
(12 + 15x + (16x + 20x2)) = 0

Combine like terms: 15x + 16x = 31x
(12 + 31x + 20x2) = 0

Solving
12 + 31x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + 5x)(3 + 4x) = 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 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-0.8, -0.75}

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