5x^2+12-3x^2=20

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Solution for 5x^2+12-3x^2=20 equation:


Simplifying
5x2 + 12 + -3x2 = 20

Reorder the terms:
12 + 5x2 + -3x2 = 20

Combine like terms: 5x2 + -3x2 = 2x2
12 + 2x2 = 20

Solving
12 + 2x2 = 20

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 2x2 = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 2x2 = 20 + -12
2x2 = 20 + -12

Combine like terms: 20 + -12 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

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

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