7=2x^2+6

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Solution for 7=2x^2+6 equation:


Simplifying
7 = 2x2 + 6

Reorder the terms:
7 = 6 + 2x2

Solving
7 = 6 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
7 + -2x2 = 6 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + -2x2 = 6 + 0
7 + -2x2 = 6

Add '-7' to each side of the equation.
7 + -7 + -2x2 = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -2x2 = 6 + -7
-2x2 = 6 + -7

Combine like terms: 6 + -7 = -1
-2x2 = -1

Divide each side by '-2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}

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