-x^2+58x+528=0

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Solution for -x^2+58x+528=0 equation: 


Simplifying
-1x2 + 58x + 528 = 0

Reorder the terms:
528 + 58x + -1x2 = 0

Solving
528 + 58x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(66 + -1x)(8 + x) = 0


Subproblem 1
Set the factor '(66 + -1x)' equal to zero and attempt to solve:

Simplifying
66 + -1x = 0

Solving
66 + -1x = 0

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

Add '-66' to each side of the equation.
66 + -66 + -1x = 0 + -66

Combine like terms: 66 + -66 = 0
0 + -1x = 0 + -66
-1x = 0 + -66

Combine like terms: 0 + -66 = -66
-1x = -66

Divide each side by '-1'.
x = 66

Simplifying
x = 66

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {66, -8}

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