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

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Solution for -(4x-3)(2x-5)=0 equation: 


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

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

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

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

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

Solving
-15 + 26x + -8x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {2.5, 0.75}

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