2x^2-27x+70=4635

Solution for 2x^2-27x+70=4635 equation:

Simplifying
2x2 + -27x + 70 = 4635

Reorder the terms:
70 + -27x + 2x2 = 4635

Solving
70 + -27x + 2x2 = 4635

Solving for variable 'x'.

Reorder the terms:
70 + -4635 + -27x + 2x2 = 4635 + -4635

Combine like terms: 70 + -4635 = -4565
-4565 + -27x + 2x2 = 4635 + -4635

Combine like terms: 4635 + -4635 = 0
-4565 + -27x + 2x2 = 0

Factor a trinomial.
(-83 + -2x)(55 + -1x) = 0

Subproblem 1
Set the factor '(-83 + -2x)' equal to zero and attempt to solve:

Simplifying
-83 + -2x = 0

Solving
-83 + -2x = 0

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

Add '83' to each side of the equation.
-83 + 83 + -2x = 0 + 83

Combine like terms: -83 + 83 = 0
0 + -2x = 0 + 83
-2x = 0 + 83

Combine like terms: 0 + 83 = 83
-2x = 83

Divide each side by '-2'.
x = -41.5

Simplifying
x = -41.5
Subproblem 2
Set the factor '(55 + -1x)' equal to zero and attempt to solve:

Simplifying
55 + -1x = 0

Solving
55 + -1x = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1x = 0 + -55
-1x = 0 + -55

Combine like terms: 0 + -55 = -55
-1x = -55

Divide each side by '-1'.
x = 55

Simplifying
x = 55
Solution
x = {-41.5, 55}