3(x^2-5)=2x^2+9

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Solution for 3(x^2-5)=2x^2+9 equation: 


Simplifying
3(x2 + -5) = 2x2 + 9

Reorder the terms:
3(-5 + x2) = 2x2 + 9
(-5 * 3 + x2 * 3) = 2x2 + 9
(-15 + 3x2) = 2x2 + 9

Reorder the terms:
-15 + 3x2 = 9 + 2x2

Solving
-15 + 3x2 = 9 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-15 + 3x2 + -2x2 = 9 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-15 + 1x2 = 9 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-15 + 1x2 = 9 + 0
-15 + 1x2 = 9

Add '15' to each side of the equation.
-15 + 15 + 1x2 = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 1x2 = 9 + 15
1x2 = 9 + 15

Combine like terms: 9 + 15 = 24
1x2 = 24

Divide each side by '1'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}

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