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

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


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

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

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

Multiply (-3 + 4x) * (2 + 5x)
(-3(2 + 5x) + 4x * (2 + 5x)) = 0
((2 * -3 + 5x * -3) + 4x * (2 + 5x)) = 0
((-6 + -15x) + 4x * (2 + 5x)) = 0
(-6 + -15x + (2 * 4x + 5x * 4x)) = 0
(-6 + -15x + (8x + 20x2)) = 0

Combine like terms: -15x + 8x = -7x
(-6 + -7x + 20x2) = 0

Solving
-6 + -7x + 20x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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 = {-0.4, 0.75}

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