(7X-2)(5X+8)=

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


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

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

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

Multiply (-2 + 7X) * (8 + 5X)
(-2(8 + 5X) + 7X * (8 + 5X)) = 0
((8 * -2 + 5X * -2) + 7X * (8 + 5X)) = 0
((-16 + -10X) + 7X * (8 + 5X)) = 0
(-16 + -10X + (8 * 7X + 5X * 7X)) = 0
(-16 + -10X + (56X + 35X2)) = 0

Combine like terms: -10X + 56X = 46X
(-16 + 46X + 35X2) = 0

Solving
-16 + 46X + 35X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-8 + -5X)(2 + -7X) = 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 '(2 + -7X)' equal to zero and attempt to solve:

Simplifying
2 + -7X = 0

Solving
2 + -7X = 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 + -7X = 0 + -2

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

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

Divide each side by '-7'.
X = 0.2857142857

Simplifying
X = 0.2857142857
Solution
X = {-1.6, 0.2857142857}

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