2(x+0.5)(x-7)=0

Solution for 2(x+0.5)(x-7)=0 equation:

Simplifying
2(x + 0.5)(x + -7) = 0

Reorder the terms:
2(0.5 + x)(x + -7) = 0

Reorder the terms:
2(0.5 + x)(-7 + x) = 0

Multiply (0.5 + x) * (-7 + x)
2(0.5(-7 + x) + x(-7 + x)) = 0
2((-7 * 0.5 + x * 0.5) + x(-7 + x)) = 0
2((-3.5 + 0.5x) + x(-7 + x)) = 0
2(-3.5 + 0.5x + (-7 * x + x * x)) = 0
2(-3.5 + 0.5x + (-7x + x2)) = 0

Combine like terms: 0.5x + -7x = -6.5x
2(-3.5 + -6.5x + x2) = 0
(-3.5 * 2 + -6.5x * 2 + x2 * 2) = 0
(-7 + -13x + 2x2) = 0

Solving
-7 + -13x + 2x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.5, 7}