8x^2=3x^2+45

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Solution for 8x^2=3x^2+45 equation:


Simplifying
8x2 = 3x2 + 45

Reorder the terms:
8x2 = 45 + 3x2

Solving
8x2 = 45 + 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.
8x2 + -3x2 = 45 + 3x2 + -3x2

Combine like terms: 8x2 + -3x2 = 5x2
5x2 = 45 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5x2 = 45 + 0
5x2 = 45

Divide each side by '5'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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