6x^2+10=46-3x^2

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Solution for 6x^2+10=46-3x^2 equation: 


Simplifying
6x2 + 10 = 46 + -3x2

Reorder the terms:
10 + 6x2 = 46 + -3x2

Solving
10 + 6x2 = 46 + -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.
10 + 6x2 + 3x2 = 46 + -3x2 + 3x2

Combine like terms: 6x2 + 3x2 = 9x2
10 + 9x2 = 46 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
10 + 9x2 = 46 + 0
10 + 9x2 = 46

Add '-10' to each side of the equation.
10 + -10 + 9x2 = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 9x2 = 46 + -10
9x2 = 46 + -10

Combine like terms: 46 + -10 = 36
9x2 = 36

Divide each side by '9'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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