4x^2-11=6

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Solution for 4x^2-11=6 equation:


Simplifying
4x2 + -11 = 6

Reorder the terms:
-11 + 4x2 = 6

Solving
-11 + 4x2 = 6

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 4x2 = 6 + 11

Combine like terms: -11 + 11 = 0
0 + 4x2 = 6 + 11
4x2 = 6 + 11

Combine like terms: 6 + 11 = 17
4x2 = 17

Divide each side by '4'.
x2 = 4.25

Simplifying
x2 = 4.25

Take the square root of each side:
x = {-2.061552813, 2.061552813}

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