(7X-2)(5X+14)=0

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Solution for (7X-2)(5X+14)=0 equation: 


Simplifying
(7X + -2)(5X + 14) = 0

Reorder the terms:
(-2 + 7X)(5X + 14) = 0

Reorder the terms:
(-2 + 7X)(14 + 5X) = 0

Multiply (-2 + 7X) * (14 + 5X)
(-2(14 + 5X) + 7X * (14 + 5X)) = 0
((14 * -2 + 5X * -2) + 7X * (14 + 5X)) = 0
((-28 + -10X) + 7X * (14 + 5X)) = 0
(-28 + -10X + (14 * 7X + 5X * 7X)) = 0
(-28 + -10X + (98X + 35X2)) = 0

Combine like terms: -10X + 98X = 88X
(-28 + 88X + 35X2) = 0

Solving
-28 + 88X + 35X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-14 + -5X)(2 + -7X) = 0


Subproblem 1
Set the factor '(-14 + -5X)' equal to zero and attempt to solve:

Simplifying
-14 + -5X = 0

Solving
-14 + -5X = 0

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

Add '14' to each side of the equation.
-14 + 14 + -5X = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -5X = 0 + 14
-5X = 0 + 14

Combine like terms: 0 + 14 = 14
-5X = 14

Divide each side by '-5'.
X = -2.8

Simplifying
X = -2.8

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 = {-2.8, 0.2857142857}

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