9x^2+60x+60x+400=2500

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Solution for 9x^2+60x+60x+400=2500 equation: 


Simplifying
9x2 + 60x + 60x + 400 = 2500

Reorder the terms:
400 + 60x + 60x + 9x2 = 2500

Combine like terms: 60x + 60x = 120x
400 + 120x + 9x2 = 2500

Solving
400 + 120x + 9x2 = 2500

Solving for variable 'x'.

Reorder the terms:
400 + -2500 + 120x + 9x2 = 2500 + -2500

Combine like terms: 400 + -2500 = -2100
-2100 + 120x + 9x2 = 2500 + -2500

Combine like terms: 2500 + -2500 = 0
-2100 + 120x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-700 + 40x + 3x2) = 0

Factor a trinomial.
3((-70 + -3x)(10 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-70 + -3x)' equal to zero and attempt to solve:

Simplifying
-70 + -3x = 0

Solving
-70 + -3x = 0

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

Add '70' to each side of the equation.
-70 + 70 + -3x = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -3x = 0 + 70
-3x = 0 + 70

Combine like terms: 0 + 70 = 70
-3x = 70

Divide each side by '-3'.
x = -23.33333333

Simplifying
x = -23.33333333

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-23.33333333, 10}

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