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

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


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

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

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

Multiply (-7 + 2X) * (2 + X)
(-7(2 + X) + 2X * (2 + X)) = 0
((2 * -7 + X * -7) + 2X * (2 + X)) = 0
((-14 + -7X) + 2X * (2 + X)) = 0
(-14 + -7X + (2 * 2X + X * 2X)) = 0
(-14 + -7X + (4X + 2X2)) = 0

Combine like terms: -7X + 4X = -3X
(-14 + -3X + 2X2) = 0

Solving
-14 + -3X + 2X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-2 + -1X)(7 + -2X) = 0


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

Simplifying
-2 + -1X = 0

Solving
-2 + -1X = 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 + -1X = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1X = 0 + 2
-1X = 0 + 2

Combine like terms: 0 + 2 = 2
-1X = 2

Divide each side by '-1'.
X = -2

Simplifying
X = -2

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 = {-2, 3.5}

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