=2(x-24)(x+29)

Solution for =2(x-24)(x+29) equation:

Simplifying
0 = 2(x + -24)(x + 29)

Reorder the terms:
0 = 2(-24 + x)(x + 29)

Reorder the terms:
0 = 2(-24 + x)(29 + x)

Multiply (-24 + x) * (29 + x)
0 = 2(-24(29 + x) + x(29 + x))
0 = 2((29 * -24 + x * -24) + x(29 + x))
0 = 2((-696 + -24x) + x(29 + x))
0 = 2(-696 + -24x + (29 * x + x * x))
0 = 2(-696 + -24x + (29x + x2))

Combine like terms: -24x + 29x = 5x
0 = 2(-696 + 5x + x2)
0 = (-696 * 2 + 5x * 2 + x2 * 2)
0 = (-1392 + 10x + 2x2)

Solving
0 = -1392 + 10x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 1392 = 1392
1392 + -10x + -2x2 = -1392 + 10x + 2x2 + 1392 + -10x + -2x2

Reorder the terms:
1392 + -10x + -2x2 = -1392 + 1392 + 10x + -10x + 2x2 + -2x2

Combine like terms: -1392 + 1392 = 0
1392 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2
1392 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
1392 + -10x + -2x2 = 0 + 2x2 + -2x2
1392 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1392 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(696 + -5x + -1x2) = 0

Factor a trinomial.
2((24 + -1x)(29 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Subproblem 2
Set the factor '(29 + x)' equal to zero and attempt to solve:

Simplifying
29 + x = 0

Solving
29 + x = 0

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

Add '-29' to each side of the equation.
29 + -29 + x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + x = 0 + -29
x = 0 + -29

Combine like terms: 0 + -29 = -29
x = -29

Simplifying
x = -29
Solution
x = {24, -29}