-2x^2+17=3x^2+13

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Solution for -2x^2+17=3x^2+13 equation: 


Simplifying
-2x2 + 17 = 3x2 + 13

Reorder the terms:
17 + -2x2 = 3x2 + 13

Reorder the terms:
17 + -2x2 = 13 + 3x2

Solving
17 + -2x2 = 13 + 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.
17 + -2x2 + -3x2 = 13 + 3x2 + -3x2

Combine like terms: -2x2 + -3x2 = -5x2
17 + -5x2 = 13 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
17 + -5x2 = 13 + 0
17 + -5x2 = 13

Add '-17' to each side of the equation.
17 + -17 + -5x2 = 13 + -17

Combine like terms: 17 + -17 = 0
0 + -5x2 = 13 + -17
-5x2 = 13 + -17

Combine like terms: 13 + -17 = -4
-5x2 = -4

Divide each side by '-5'.
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}

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