150x^2-750x=26400

Solution for 150x^2-750x=26400 equation:

Simplifying
150x2 + -750x = 26400

Reorder the terms:
-750x + 150x2 = 26400

Solving
-750x + 150x2 = 26400

Solving for variable 'x'.

Reorder the terms:
-26400 + -750x + 150x2 = 26400 + -26400

Combine like terms: 26400 + -26400 = 0
-26400 + -750x + 150x2 = 0

Factor out the Greatest Common Factor (GCF), '150'.
150(-176 + -5x + x2) = 0

Factor a trinomial.
150((-11 + -1x)(16 + -1x)) = 0

Ignore the factor 150.
Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-11, 16}