16x=x^2-63

Simple and best practice solution for 16x=x^2-63 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 16x=x^2-63 equation:


Simplifying
16x = x2 + -63

Reorder the terms:
16x = -63 + x2

Solving
16x = -63 + x2

Solving for variable 'x'.

Reorder the terms:
63 + 16x + -1x2 = -63 + x2 + 63 + -1x2

Reorder the terms:
63 + 16x + -1x2 = -63 + 63 + x2 + -1x2

Combine like terms: -63 + 63 = 0
63 + 16x + -1x2 = 0 + x2 + -1x2
63 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
63 + 16x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-63 + -16x + x2 = 0

Move the constant term to the right:

Add '63' to each side of the equation.
-63 + -16x + 63 + x2 = 0 + 63

Reorder the terms:
-63 + 63 + -16x + x2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + -16x + x2 = 0 + 63
-16x + x2 = 0 + 63

Combine like terms: 0 + 63 = 63
-16x + x2 = 63

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = 63 + 64

Reorder the terms:
64 + -16x + x2 = 63 + 64

Combine like terms: 63 + 64 = 127
64 + -16x + x2 = 127

Factor a perfect square on the left side:
(x + -8)(x + -8) = 127

Calculate the square root of the right side: 11.26942767

Break this problem into two subproblems by setting 
(x + -8) equal to 11.26942767 and -11.26942767.

Subproblem 1

x + -8 = 11.26942767 Simplifying x + -8 = 11.26942767 Reorder the terms: -8 + x = 11.26942767 Solving -8 + x = 11.26942767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 11.26942767 + 8 Combine like terms: -8 + 8 = 0 0 + x = 11.26942767 + 8 x = 11.26942767 + 8 Combine like terms: 11.26942767 + 8 = 19.26942767 x = 19.26942767 Simplifying x = 19.26942767

Subproblem 2

x + -8 = -11.26942767 Simplifying x + -8 = -11.26942767 Reorder the terms: -8 + x = -11.26942767 Solving -8 + x = -11.26942767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = -11.26942767 + 8 Combine like terms: -8 + 8 = 0 0 + x = -11.26942767 + 8 x = -11.26942767 + 8 Combine like terms: -11.26942767 + 8 = -3.26942767 x = -3.26942767 Simplifying x = -3.26942767

Solution

The solution to the problem is based on the solutions from the subproblems. x = {19.26942767, -3.26942767}

See similar equations:

| .75y=-4.5-.50x | | 50=2.50/(x-0.04) | | 1.2k+3.6= | | 3(x^3+2x^3-8x+8)=0 | | 7.05b=2.4 | | 15x+2=18x-19 | | (3x+12)(4x-8)=x | | 7+9f-f=71 | | 5400/150 | | y^2x^2-4y^2-x^2+7=0 | | 90*s=500+s*70 | | y=(3x-1)(2x^3+5) | | 7=1/3(6)-1 | | X^7x^11/(x^2)^3 | | 13+9n=140 | | 15.50x+125.00=289.00 | | 5+6d-8=129 | | 7x-10=10+2x | | 100+70*s=90*s | | (12a-3b)(2a-5b)= | | yx^2-4y^2-x^2+7=0 | | -8x+29=77 | | 7x=780 | | -25=3x-4(x+5) | | 1/7a=5 | | -53-6x=-129 | | 4e=-12 | | 6d-2=19-3 | | 3cos^3x=3cosx | | -36x^3+49x=0 | | 5x+10x-7=3(5x+2) | | 2(5g-2)-(2g+7)= |

Equations solver categories