10x^2-1x-3=46-x

Solution for 10x^2-1x-3=46-x equation:

Simplifying
10x2 + -1x + -3 = 46 + -1x

Reorder the terms:
-3 + -1x + 10x2 = 46 + -1x

Add 'x' to each side of the equation.
-3 + -1x + x + 10x2 = 46 + -1x + x

Combine like terms: -1x + x = 0
-3 + 0 + 10x2 = 46 + -1x + x
-3 + 10x2 = 46 + -1x + x

Combine like terms: -1x + x = 0
-3 + 10x2 = 46 + 0
-3 + 10x2 = 46

Solving
-3 + 10x2 = 46

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 10x2 = 46 + 3

Combine like terms: -3 + 3 = 0
0 + 10x2 = 46 + 3
10x2 = 46 + 3

Combine like terms: 46 + 3 = 49
10x2 = 49

Divide each side by '10'.
x2 = 4.9

Simplifying
x2 = 4.9

Take the square root of each side:
x = {-2.213594362, 2.213594362}