4x^2+6=49

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Solution for 4x^2+6=49 equation:


Simplifying
4x2 + 6 = 49

Reorder the terms:
6 + 4x2 = 49

Solving
6 + 4x2 = 49

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x2 = 49 + -6

Combine like terms: 6 + -6 = 0
0 + 4x2 = 49 + -6
4x2 = 49 + -6

Combine like terms: 49 + -6 = 43
4x2 = 43

Divide each side by '4'.
x2 = 10.75

Simplifying
x2 = 10.75

Take the square root of each side:
x = {-3.278719262, 3.278719262}

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