x^2+53x-630=0

Solution for x^2+53x-630=0 equation:

Simplifying
x2 + 53x + -630 = 0

Reorder the terms:
-630 + 53x + x2 = 0

Solving
-630 + 53x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-63 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-63 + -1x)' equal to zero and attempt to solve:

Simplifying
-63 + -1x = 0

Solving
-63 + -1x = 0

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

Add '63' to each side of the equation.
-63 + 63 + -1x = 0 + 63

Combine like terms: -63 + 63 = 0
0 + -1x = 0 + 63
-1x = 0 + 63

Combine like terms: 0 + 63 = 63
-1x = 63

Divide each side by '-1'.
x = -63

Simplifying
x = -63
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-63, 10}