7x^2-5x-2700=0

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Solution for 7x^2-5x-2700=0 equation: 


Simplifying
7x2 + -5x + -2700 = 0

Reorder the terms:
-2700 + -5x + 7x2 = 0

Solving
-2700 + -5x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-135 + -7x)(20 + -1x) = 0


Subproblem 1
Set the factor '(-135 + -7x)' equal to zero and attempt to solve:

Simplifying
-135 + -7x = 0

Solving
-135 + -7x = 0

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

Add '135' to each side of the equation.
-135 + 135 + -7x = 0 + 135

Combine like terms: -135 + 135 = 0
0 + -7x = 0 + 135
-7x = 0 + 135

Combine like terms: 0 + 135 = 135
-7x = 135

Divide each side by '-7'.
x = -19.28571429

Simplifying
x = -19.28571429

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 = {-19.28571429, 20}

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