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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.75, 0.4}

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