(24)x*x-30x+8=-2x

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Solution for (24)x*x-30x+8=-2x equation: 


Simplifying
(24) * x * x + -30x + 8 = -2x

Multiply x * x
24x2 + -30x + 8 = -2x

Reorder the terms:
8 + -30x + 24x2 = -2x

Solving
8 + -30x + 24x2 = -2x

Solving for variable 'x'.

Reorder the terms:
8 + -30x + 2x + 24x2 = -2x + 2x

Combine like terms: -30x + 2x = -28x
8 + -28x + 24x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -28x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -7x + 6x2) = 0

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

Ignore the factor 4.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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

Simplifying
2 + -3x = 0

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

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0.5, 0.6666666667}

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