19*(16+3)x-60-x^2=300

Solution for 19*(16+3)x-60-x^2=300 equation:

Simplifying
19(16 + 3) * x + -60 + -1x2 = 300

Combine like terms: 16 + 3 = 19
19(19) * x + -60 + -1x2 = 300

Multiply 19 * 19
361x + -60 + -1x2 = 300

Reorder the terms:
-60 + 361x + -1x2 = 300

Solving
-60 + 361x + -1x2 = 300

Solving for variable 'x'.

Reorder the terms:
-60 + -300 + 361x + -1x2 = 300 + -300

Combine like terms: -60 + -300 = -360
-360 + 361x + -1x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-360 + 361x + -1x2 = 0

Factor a trinomial.
(-360 + x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-360 + x)' equal to zero and attempt to solve:

Simplifying
-360 + x = 0

Solving
-360 + x = 0

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

Add '360' to each side of the equation.
-360 + 360 + x = 0 + 360

Combine like terms: -360 + 360 = 0
0 + x = 0 + 360
x = 0 + 360

Combine like terms: 0 + 360 = 360
x = 360

Simplifying
x = 360
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {360, 1}