(x-8)(7x-5)=0

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Solution for (x-8)(7x-5)=0 equation: 


Simplifying
(x + -8)(7x + -5) = 0

Reorder the terms:
(-8 + x)(7x + -5) = 0

Reorder the terms:
(-8 + x)(-5 + 7x) = 0

Multiply (-8 + x) * (-5 + 7x)
(-8(-5 + 7x) + x(-5 + 7x)) = 0
((-5 * -8 + 7x * -8) + x(-5 + 7x)) = 0
((40 + -56x) + x(-5 + 7x)) = 0
(40 + -56x + (-5 * x + 7x * x)) = 0
(40 + -56x + (-5x + 7x2)) = 0

Combine like terms: -56x + -5x = -61x
(40 + -61x + 7x2) = 0

Solving
40 + -61x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -7x)(8 + -1x) = 0


Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {0.7142857143, 8}

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