3x^2-100=21-6x^2

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Solution for 3x^2-100=21-6x^2 equation:


Simplifying
3x2 + -100 = 21 + -6x2

Reorder the terms:
-100 + 3x2 = 21 + -6x2

Solving
-100 + 3x2 = 21 + -6x2

Solving for variable 'x'.

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

Add '6x2' to each side of the equation.
-100 + 3x2 + 6x2 = 21 + -6x2 + 6x2

Combine like terms: 3x2 + 6x2 = 9x2
-100 + 9x2 = 21 + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-100 + 9x2 = 21 + 0
-100 + 9x2 = 21

Add '100' to each side of the equation.
-100 + 100 + 9x2 = 21 + 100

Combine like terms: -100 + 100 = 0
0 + 9x2 = 21 + 100
9x2 = 21 + 100

Combine like terms: 21 + 100 = 121
9x2 = 121

Divide each side by '9'.
x2 = 13.44444444

Simplifying
x2 = 13.44444444

Take the square root of each side:
x = {-3.666666666, 3.666666666}

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