(x-3)(10x+13)=0

Solution for (x-3)(10x+13)=0 equation:

Simplifying
(x + -3)(10x + 13) = 0

Reorder the terms:
(-3 + x)(10x + 13) = 0

Reorder the terms:
(-3 + x)(13 + 10x) = 0

Multiply (-3 + x) * (13 + 10x)
(-3(13 + 10x) + x(13 + 10x)) = 0
((13 * -3 + 10x * -3) + x(13 + 10x)) = 0
((-39 + -30x) + x(13 + 10x)) = 0
(-39 + -30x + (13 * x + 10x * x)) = 0
(-39 + -30x + (13x + 10x2)) = 0

Combine like terms: -30x + 13x = -17x
(-39 + -17x + 10x2) = 0

Solving
-39 + -17x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -10x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -10x)' equal to zero and attempt to solve:

Simplifying
-13 + -10x = 0

Solving
-13 + -10x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -10x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -10x = 0 + 13
-10x = 0 + 13

Combine like terms: 0 + 13 = 13
-10x = 13

Divide each side by '-10'.
x = -1.3

Simplifying
x = -1.3
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.3, 3}