x^2+7x-3528=0

Solution for x^2+7x-3528=0 equation:

Simplifying
x2 + 7x + -3528 = 0

Reorder the terms:
-3528 + 7x + x2 = 0

Solving
-3528 + 7x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-63 + -1x)(56 + -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 '(56 + -1x)' equal to zero and attempt to solve:

Simplifying
56 + -1x = 0

Solving
56 + -1x = 0

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

Add '-56' to each side of the equation.
56 + -56 + -1x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -1x = 0 + -56
-1x = 0 + -56

Combine like terms: 0 + -56 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56
Solution
x = {-63, 56}