x(2x-5)=700

Solution for x(2x-5)=700 equation:

Simplifying
x(2x + -5) = 700

Reorder the terms:
x(-5 + 2x) = 700
(-5 * x + 2x * x) = 700
(-5x + 2x2) = 700

Solving
-5x + 2x2 = 700

Solving for variable 'x'.

Reorder the terms:
-700 + -5x + 2x2 = 700 + -700

Combine like terms: 700 + -700 = 0
-700 + -5x + 2x2 = 0

Factor a trinomial.
(-35 + -2x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-35 + -2x)' equal to zero and attempt to solve:

Simplifying
-35 + -2x = 0

Solving
-35 + -2x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -2x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -2x = 0 + 35
-2x = 0 + 35

Combine like terms: 0 + 35 = 35
-2x = 35

Divide each side by '-2'.
x = -17.5

Simplifying
x = -17.5
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-17.5, 20}