(2x-5)(4x-3)-(5x-1)(4x-3)=

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Solution for (2x-5)(4x-3)-(5x-1)(4x-3)= equation: 


Simplifying
(2x + -5)(4x + -3) + -1(5x + -1)(4x + -3) = 0

Reorder the terms:
(-5 + 2x)(4x + -3) + -1(5x + -1)(4x + -3) = 0

Reorder the terms:
(-5 + 2x)(-3 + 4x) + -1(5x + -1)(4x + -3) = 0

Multiply (-5 + 2x) * (-3 + 4x)
(-5(-3 + 4x) + 2x * (-3 + 4x)) + -1(5x + -1)(4x + -3) = 0
((-3 * -5 + 4x * -5) + 2x * (-3 + 4x)) + -1(5x + -1)(4x + -3) = 0
((15 + -20x) + 2x * (-3 + 4x)) + -1(5x + -1)(4x + -3) = 0
(15 + -20x + (-3 * 2x + 4x * 2x)) + -1(5x + -1)(4x + -3) = 0
(15 + -20x + (-6x + 8x2)) + -1(5x + -1)(4x + -3) = 0

Combine like terms: -20x + -6x = -26x
(15 + -26x + 8x2) + -1(5x + -1)(4x + -3) = 0

Reorder the terms:
15 + -26x + 8x2 + -1(-1 + 5x)(4x + -3) = 0

Reorder the terms:
15 + -26x + 8x2 + -1(-1 + 5x)(-3 + 4x) = 0

Multiply (-1 + 5x) * (-3 + 4x)
15 + -26x + 8x2 + -1(-1(-3 + 4x) + 5x * (-3 + 4x)) = 0
15 + -26x + 8x2 + -1((-3 * -1 + 4x * -1) + 5x * (-3 + 4x)) = 0
15 + -26x + 8x2 + -1((3 + -4x) + 5x * (-3 + 4x)) = 0
15 + -26x + 8x2 + -1(3 + -4x + (-3 * 5x + 4x * 5x)) = 0
15 + -26x + 8x2 + -1(3 + -4x + (-15x + 20x2)) = 0

Combine like terms: -4x + -15x = -19x
15 + -26x + 8x2 + -1(3 + -19x + 20x2) = 0
15 + -26x + 8x2 + (3 * -1 + -19x * -1 + 20x2 * -1) = 0
15 + -26x + 8x2 + (-3 + 19x + -20x2) = 0

Reorder the terms:
15 + -3 + -26x + 19x + 8x2 + -20x2 = 0

Combine like terms: 15 + -3 = 12
12 + -26x + 19x + 8x2 + -20x2 = 0

Combine like terms: -26x + 19x = -7x
12 + -7x + 8x2 + -20x2 = 0

Combine like terms: 8x2 + -20x2 = -12x2
12 + -7x + -12x2 = 0

Solving
12 + -7x + -12x2 = 0

Solving for variable 'x'.

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

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0.75, -1.333333333}

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