(16x-19)(8x-8)=

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Solution for (16x-19)(8x-8)= equation: 


Simplifying
(16x + -19)(8x + -8) = 0

Reorder the terms:
(-19 + 16x)(8x + -8) = 0

Reorder the terms:
(-19 + 16x)(-8 + 8x) = 0

Multiply (-19 + 16x) * (-8 + 8x)
(-19(-8 + 8x) + 16x * (-8 + 8x)) = 0
((-8 * -19 + 8x * -19) + 16x * (-8 + 8x)) = 0
((152 + -152x) + 16x * (-8 + 8x)) = 0
(152 + -152x + (-8 * 16x + 8x * 16x)) = 0
(152 + -152x + (-128x + 128x2)) = 0

Combine like terms: -152x + -128x = -280x
(152 + -280x + 128x2) = 0

Solving
152 + -280x + 128x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(19 + -35x + 16x2) = 0

Factor a trinomial.
8((1 + -1x)(19 + -16x)) = 0

Ignore the factor 8.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(19 + -16x)' equal to zero and attempt to solve:

Simplifying
19 + -16x = 0

Solving
19 + -16x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -16x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -16x = 0 + -19
-16x = 0 + -19

Combine like terms: 0 + -19 = -19
-16x = -19

Divide each side by '-16'.
x = 1.1875

Simplifying
x = 1.1875
Solution
x = {1, 1.1875}

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