8x^2+3=5x^2+195

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Solution for 8x^2+3=5x^2+195 equation:


Simplifying
8x2 + 3 = 5x2 + 195

Reorder the terms:
3 + 8x2 = 5x2 + 195

Reorder the terms:
3 + 8x2 = 195 + 5x2

Solving
3 + 8x2 = 195 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
3 + 8x2 + -5x2 = 195 + 5x2 + -5x2

Combine like terms: 8x2 + -5x2 = 3x2
3 + 3x2 = 195 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
3 + 3x2 = 195 + 0
3 + 3x2 = 195

Add '-3' to each side of the equation.
3 + -3 + 3x2 = 195 + -3

Combine like terms: 3 + -3 = 0
0 + 3x2 = 195 + -3
3x2 = 195 + -3

Combine like terms: 195 + -3 = 192
3x2 = 192

Divide each side by '3'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}

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