9x^2+26=3x^2+80

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Solution for 9x^2+26=3x^2+80 equation:


Simplifying
9x2 + 26 = 3x2 + 80

Reorder the terms:
26 + 9x2 = 3x2 + 80

Reorder the terms:
26 + 9x2 = 80 + 3x2

Solving
26 + 9x2 = 80 + 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.
26 + 9x2 + -3x2 = 80 + 3x2 + -3x2

Combine like terms: 9x2 + -3x2 = 6x2
26 + 6x2 = 80 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
26 + 6x2 = 80 + 0
26 + 6x2 = 80

Add '-26' to each side of the equation.
26 + -26 + 6x2 = 80 + -26

Combine like terms: 26 + -26 = 0
0 + 6x2 = 80 + -26
6x2 = 80 + -26

Combine like terms: 80 + -26 = 54
6x2 = 54

Divide each side by '6'.
x2 = 9

Simplifying
x2 = 9

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

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