2x^2-13=5x^2+12

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Solution for 2x^2-13=5x^2+12 equation:


Simplifying
2x2 + -13 = 5x2 + 12

Reorder the terms:
-13 + 2x2 = 5x2 + 12

Reorder the terms:
-13 + 2x2 = 12 + 5x2

Solving
-13 + 2x2 = 12 + 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.
-13 + 2x2 + -5x2 = 12 + 5x2 + -5x2

Combine like terms: 2x2 + -5x2 = -3x2
-13 + -3x2 = 12 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-13 + -3x2 = 12 + 0
-13 + -3x2 = 12

Add '13' to each side of the equation.
-13 + 13 + -3x2 = 12 + 13

Combine like terms: -13 + 13 = 0
0 + -3x2 = 12 + 13
-3x2 = 12 + 13

Combine like terms: 12 + 13 = 25
-3x2 = 25

Divide each side by '-3'.
x2 = -8.333333333

Simplifying
x2 = -8.333333333

Reorder the terms:
8.333333333 + x2 = -8.333333333 + 8.333333333

Combine like terms: -8.333333333 + 8.333333333 = 0.000000000
8.333333333 + x2 = 0.000000000

The solution to this equation could not be determined.

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