24x^2-20x+4=24x-8

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Solution for 24x^2-20x+4=24x-8 equation: 


Simplifying
24x2 + -20x + 4 = 24x + -8

Reorder the terms:
4 + -20x + 24x2 = 24x + -8

Reorder the terms:
4 + -20x + 24x2 = -8 + 24x

Solving
4 + -20x + 24x2 = -8 + 24x

Solving for variable 'x'.

Reorder the terms:
4 + 8 + -20x + -24x + 24x2 = -8 + 24x + 8 + -24x

Combine like terms: 4 + 8 = 12
12 + -20x + -24x + 24x2 = -8 + 24x + 8 + -24x

Combine like terms: -20x + -24x = -44x
12 + -44x + 24x2 = -8 + 24x + 8 + -24x

Reorder the terms:
12 + -44x + 24x2 = -8 + 8 + 24x + -24x

Combine like terms: -8 + 8 = 0
12 + -44x + 24x2 = 0 + 24x + -24x
12 + -44x + 24x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
12 + -44x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -11x + 6x2) = 0

Factor a trinomial.
4((1 + -3x)(3 + -2x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.3333333333, 1.5}

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