7x^2-24=18-2x^2

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Solution for 7x^2-24=18-2x^2 equation: 


Simplifying
7x2 + -24 = 18 + -2x2

Reorder the terms:
-24 + 7x2 = 18 + -2x2

Solving
-24 + 7x2 = 18 + -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.
-24 + 7x2 + 2x2 = 18 + -2x2 + 2x2

Combine like terms: 7x2 + 2x2 = 9x2
-24 + 9x2 = 18 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-24 + 9x2 = 18 + 0
-24 + 9x2 = 18

Add '24' to each side of the equation.
-24 + 24 + 9x2 = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 9x2 = 18 + 24
9x2 = 18 + 24

Combine like terms: 18 + 24 = 42
9x2 = 42

Divide each side by '9'.
x2 = 4.666666667

Simplifying
x2 = 4.666666667

Take the square root of each side:
x = {-2.1602469, 2.1602469}

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