9x^2-38=3x^2+8

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Solution for 9x^2-38=3x^2+8 equation:


Simplifying
9x2 + -38 = 3x2 + 8

Reorder the terms:
-38 + 9x2 = 3x2 + 8

Reorder the terms:
-38 + 9x2 = 8 + 3x2

Solving
-38 + 9x2 = 8 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-38 + 9x2 + -3x2 = 8 + 3x2 + -3x2

Combine like terms: 9x2 + -3x2 = 6x2
-38 + 6x2 = 8 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-38 + 6x2 = 8 + 0
-38 + 6x2 = 8

Add '38' to each side of the equation.
-38 + 38 + 6x2 = 8 + 38

Combine like terms: -38 + 38 = 0
0 + 6x2 = 8 + 38
6x2 = 8 + 38

Combine like terms: 8 + 38 = 46
6x2 = 46

Divide each side by '6'.
x2 = 7.666666667

Simplifying
x2 = 7.666666667

Take the square root of each side:
x = {-2.768874621, 2.768874621}

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