0=x^2+53x-630

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

Simplifying
0 = x2 + 53x + -630

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

Solving
0 = -630 + 53x + x2

Solving for variable 'x'.

Combine like terms: 0 + 630 = 630
630 + -53x + -1x2 = -630 + 53x + x2 + 630 + -53x + -1x2

Reorder the terms:
630 + -53x + -1x2 = -630 + 630 + 53x + -53x + x2 + -1x2

Combine like terms: -630 + 630 = 0
630 + -53x + -1x2 = 0 + 53x + -53x + x2 + -1x2
630 + -53x + -1x2 = 53x + -53x + x2 + -1x2

Combine like terms: 53x + -53x = 0
630 + -53x + -1x2 = 0 + x2 + -1x2
630 + -53x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
630 + -53x + -1x2 = 0

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

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

Simplifying
63 + x = 0

Solving
63 + x = 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 + x = 0 + -63

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

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

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