4x^2-13=x^2+14

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Solution for 4x^2-13=x^2+14 equation: 


Simplifying
4x2 + -13 = x2 + 14

Reorder the terms:
-13 + 4x2 = x2 + 14

Reorder the terms:
-13 + 4x2 = 14 + x2

Solving
-13 + 4x2 = 14 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-13 + 4x2 + -1x2 = 14 + x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-13 + 3x2 = 14 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-13 + 3x2 = 14 + 0
-13 + 3x2 = 14

Add '13' to each side of the equation.
-13 + 13 + 3x2 = 14 + 13

Combine like terms: -13 + 13 = 0
0 + 3x2 = 14 + 13
3x2 = 14 + 13

Combine like terms: 14 + 13 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

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

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