(5x-8)(2x-7)=

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Solution for (5x-8)(2x-7)= equation: 


Simplifying
(5x + -8)(2x + -7) = 0

Reorder the terms:
(-8 + 5x)(2x + -7) = 0

Reorder the terms:
(-8 + 5x)(-7 + 2x) = 0

Multiply (-8 + 5x) * (-7 + 2x)
(-8(-7 + 2x) + 5x * (-7 + 2x)) = 0
((-7 * -8 + 2x * -8) + 5x * (-7 + 2x)) = 0
((56 + -16x) + 5x * (-7 + 2x)) = 0
(56 + -16x + (-7 * 5x + 2x * 5x)) = 0
(56 + -16x + (-35x + 10x2)) = 0

Combine like terms: -16x + -35x = -51x
(56 + -51x + 10x2) = 0

Solving
56 + -51x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -5x)(7 + -2x) = 0


Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {1.6, 3.5}

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