3x^2-65-8x=10-8x

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Solution for 3x^2-65-8x=10-8x equation: 


Simplifying
3x2 + -65 + -8x = 10 + -8x

Reorder the terms:
-65 + -8x + 3x2 = 10 + -8x

Add '8x' to each side of the equation.
-65 + -8x + 8x + 3x2 = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
-65 + 0 + 3x2 = 10 + -8x + 8x
-65 + 3x2 = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
-65 + 3x2 = 10 + 0
-65 + 3x2 = 10

Solving
-65 + 3x2 = 10

Solving for variable 'x'.

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

Add '65' to each side of the equation.
-65 + 65 + 3x2 = 10 + 65

Combine like terms: -65 + 65 = 0
0 + 3x2 = 10 + 65
3x2 = 10 + 65

Combine like terms: 10 + 65 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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