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

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


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

Reorder the terms:
2x(-3 + 4x) + -5(4x + -3) = 0
(-3 * 2x + 4x * 2x) + -5(4x + -3) = 0
(-6x + 8x2) + -5(4x + -3) = 0

Reorder the terms:
-6x + 8x2 + -5(-3 + 4x) = 0
-6x + 8x2 + (-3 * -5 + 4x * -5) = 0
-6x + 8x2 + (15 + -20x) = 0

Reorder the terms:
15 + -6x + -20x + 8x2 = 0

Combine like terms: -6x + -20x = -26x
15 + -26x + 8x2 = 0

Solving
15 + -26x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(5 + -2x) = 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 '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.75, 2.5}

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