(3-10x)(x+23)=0

Solution for (3-10x)(x+23)=0 equation:

Simplifying
(3 + -10x)(x + 23) = 0

Reorder the terms:
(3 + -10x)(23 + x) = 0

Multiply (3 + -10x) * (23 + x)
(3(23 + x) + -10x * (23 + x)) = 0
((23 * 3 + x * 3) + -10x * (23 + x)) = 0
((69 + 3x) + -10x * (23 + x)) = 0
(69 + 3x + (23 * -10x + x * -10x)) = 0
(69 + 3x + (-230x + -10x2)) = 0

Combine like terms: 3x + -230x = -227x
(69 + -227x + -10x2) = 0

Solving
69 + -227x + -10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -10x)(23 + x) = 0

Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Subproblem 2
Set the factor '(23 + x)' equal to zero and attempt to solve:

Simplifying
23 + x = 0

Solving
23 + x = 0

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

Add '-23' to each side of the equation.
23 + -23 + x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + x = 0 + -23
x = 0 + -23

Combine like terms: 0 + -23 = -23
x = -23

Simplifying
x = -23
Solution
x = {0.3, -23}