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

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


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

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

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

Multiply (-5 + 4x) * (-2 + x)
(-5(-2 + x) + 4x * (-2 + x)) = 0
((-2 * -5 + x * -5) + 4x * (-2 + x)) = 0
((10 + -5x) + 4x * (-2 + x)) = 0
(10 + -5x + (-2 * 4x + x * 4x)) = 0
(10 + -5x + (-8x + 4x2)) = 0

Combine like terms: -5x + -8x = -13x
(10 + -13x + 4x2) = 0

Solving
10 + -13x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -4x)(2 + -1x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.25, 2}

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