6x^2-91x+244=7x+4

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Solution for 6x^2-91x+244=7x+4 equation: 


Simplifying
6x2 + -91x + 244 = 7x + 4

Reorder the terms:
244 + -91x + 6x2 = 7x + 4

Reorder the terms:
244 + -91x + 6x2 = 4 + 7x

Solving
244 + -91x + 6x2 = 4 + 7x

Solving for variable 'x'.

Reorder the terms:
244 + -4 + -91x + -7x + 6x2 = 4 + 7x + -4 + -7x

Combine like terms: 244 + -4 = 240
240 + -91x + -7x + 6x2 = 4 + 7x + -4 + -7x

Combine like terms: -91x + -7x = -98x
240 + -98x + 6x2 = 4 + 7x + -4 + -7x

Reorder the terms:
240 + -98x + 6x2 = 4 + -4 + 7x + -7x

Combine like terms: 4 + -4 = 0
240 + -98x + 6x2 = 0 + 7x + -7x
240 + -98x + 6x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
240 + -98x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(120 + -49x + 3x2) = 0

Factor a trinomial.
2((3 + -1x)(40 + -3x)) = 0

Ignore the factor 2.

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(40 + -3x)' equal to zero and attempt to solve:

Simplifying
40 + -3x = 0

Solving
40 + -3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -3x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -3x = 0 + -40
-3x = 0 + -40

Combine like terms: 0 + -40 = -40
-3x = -40

Divide each side by '-3'.
x = 13.33333333

Simplifying
x = 13.33333333
Solution
x = {3, 13.33333333}

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