-5x^2+51=6

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Solution for -5x^2+51=6 equation:


Simplifying
-5x2 + 51 = 6

Reorder the terms:
51 + -5x2 = 6

Solving
51 + -5x2 = 6

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + -5x2 = 6 + -51

Combine like terms: 51 + -51 = 0
0 + -5x2 = 6 + -51
-5x2 = 6 + -51

Combine like terms: 6 + -51 = -45
-5x2 = -45

Divide each side by '-5'.
x2 = 9

Simplifying
x2 = 9

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

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