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

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


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

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {1.5, -0.8}

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