24x^2+11x-80=3x

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Solution for 24x^2+11x-80=3x equation: 


Simplifying
24x2 + 11x + -80 = 3x

Reorder the terms:
-80 + 11x + 24x2 = 3x

Solving
-80 + 11x + 24x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-80 + 11x + -3x + 24x2 = 3x + -3x

Combine like terms: 11x + -3x = 8x
-80 + 8x + 24x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-80 + 8x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-10 + x + 3x2) = 0

Factor a trinomial.
8((-2 + -1x)(5 + -3x)) = 0

Ignore the factor 8.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-2, 1.666666667}

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