(4x-10)(9x-8)=

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Solution for (4x-10)(9x-8)= equation: 


Simplifying
(4x + -10)(9x + -8) = 0

Reorder the terms:
(-10 + 4x)(9x + -8) = 0

Reorder the terms:
(-10 + 4x)(-8 + 9x) = 0

Multiply (-10 + 4x) * (-8 + 9x)
(-10(-8 + 9x) + 4x * (-8 + 9x)) = 0
((-8 * -10 + 9x * -10) + 4x * (-8 + 9x)) = 0
((80 + -90x) + 4x * (-8 + 9x)) = 0
(80 + -90x + (-8 * 4x + 9x * 4x)) = 0
(80 + -90x + (-32x + 36x2)) = 0

Combine like terms: -90x + -32x = -122x
(80 + -122x + 36x2) = 0

Solving
80 + -122x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -61x + 18x2) = 0

Factor a trinomial.
2((8 + -9x)(5 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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 = {0.8888888889, 2.5}

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