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

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Solution for (5x-4)(4x+3)=0 equation: 


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

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

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

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

Combine like terms: -16x + 15x = -1x
(-12 + -1x + 20x2) = 0

Solving
-12 + -1x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x)(4 + -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 '(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 = {-0.75, 0.8}

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