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

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


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

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

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

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

Combine like terms: -15x + -8x = -23x
-1(6 + -23x + 20x2) = 0
(6 * -1 + -23x * -1 + 20x2 * -1) = 0
(-6 + 23x + -20x2) = 0

Solving
-6 + 23x + -20x2 = 0

Solving for variable 'x'.

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0.75, 0.4}

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