-120-28x=-9x^2-7x

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Solution for -120-28x=-9x^2-7x equation: 


Simplifying
-120 + -28x = -9x2 + -7x

Reorder the terms:
-120 + -28x = -7x + -9x2

Solving
-120 + -28x = -7x + -9x2

Solving for variable 'x'.

Combine like terms: -28x + 7x = -21x
-120 + -21x + 9x2 = -7x + -9x2 + 7x + 9x2

Reorder the terms:
-120 + -21x + 9x2 = -7x + 7x + -9x2 + 9x2

Combine like terms: -7x + 7x = 0
-120 + -21x + 9x2 = 0 + -9x2 + 9x2
-120 + -21x + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
-120 + -21x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-40 + -7x + 3x2) = 0

Factor a trinomial.
3((-8 + -3x)(5 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-2.666666667, 5}

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