20x^2-93=3+28x

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Solution for 20x^2-93=3+28x equation: 


Simplifying
20x2 + -93 = 3 + 28x

Reorder the terms:
-93 + 20x2 = 3 + 28x

Solving
-93 + 20x2 = 3 + 28x

Solving for variable 'x'.

Reorder the terms:
-93 + -3 + -28x + 20x2 = 3 + 28x + -3 + -28x

Combine like terms: -93 + -3 = -96
-96 + -28x + 20x2 = 3 + 28x + -3 + -28x

Reorder the terms:
-96 + -28x + 20x2 = 3 + -3 + 28x + -28x

Combine like terms: 3 + -3 = 0
-96 + -28x + 20x2 = 0 + 28x + -28x
-96 + -28x + 20x2 = 28x + -28x

Combine like terms: 28x + -28x = 0
-96 + -28x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + -7x + 5x2) = 0

Factor a trinomial.
4((-8 + -5x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 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 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
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
Solution
x = {-1.6, 3}

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