x^2-16x+64=51

Simple and best practice solution for x^2-16x+64=51 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 x^2-16x+64=51 equation:


Simplifying
x2 + -16x + 64 = 51

Reorder the terms:
64 + -16x + x2 = 51

Solving
64 + -16x + x2 = 51

Solving for variable 'x'.

Reorder the terms:
64 + -51 + -16x + x2 = 51 + -51

Combine like terms: 64 + -51 = 13
13 + -16x + x2 = 51 + -51

Combine like terms: 51 + -51 = 0
13 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -16x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -16x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -16x + x2 = 0 + -13
-16x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-16x + x2 = -13

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 = -13 + 64

Reorder the terms:
64 + -16x + x2 = -13 + 64

Combine like terms: -13 + 64 = 51
64 + -16x + x2 = 51

Factor a perfect square on the left side:
(x + -8)(x + -8) = 51

Calculate the square root of the right side: 7.141428429

Break this problem into two subproblems by setting 
(x + -8) equal to 7.141428429 and -7.141428429.

Subproblem 1

x + -8 = 7.141428429 Simplifying x + -8 = 7.141428429 Reorder the terms: -8 + x = 7.141428429 Solving -8 + x = 7.141428429 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 = 7.141428429 + 8 Combine like terms: -8 + 8 = 0 0 + x = 7.141428429 + 8 x = 7.141428429 + 8 Combine like terms: 7.141428429 + 8 = 15.141428429 x = 15.141428429 Simplifying x = 15.141428429

Subproblem 2

x + -8 = -7.141428429 Simplifying x + -8 = -7.141428429 Reorder the terms: -8 + x = -7.141428429 Solving -8 + x = -7.141428429 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 = -7.141428429 + 8 Combine like terms: -8 + 8 = 0 0 + x = -7.141428429 + 8 x = -7.141428429 + 8 Combine like terms: -7.141428429 + 8 = 0.858571571 x = 0.858571571 Simplifying x = 0.858571571

Solution

The solution to the problem is based on the solutions from the subproblems. x = {15.141428429, 0.858571571}

See similar equations:

| 7m+3(m+2)=13 | | (8x-5)+(6x+8)= | | 2n+n=12-2 | | -2x^2+18x=16 | | 9x-3=9(x+5) | | 28=6x+8 | | 0=460-4x | | (-2ay)(-2y+ay)=0 | | 13=2(x+4) | | (10-3j)=X(4+j) | | x^3-5x^2-18x+72=0 | | -3(x+3)+6=7(x+3)+7 | | 56-7x=2forx | | 0=8n+8 | | x^3+5x^2-18x-72=0 | | 3-4-5-6-7-8-9-1838x=7654321 | | y+13=2(x+4) | | W+41=1 | | 3x+6x=17 | | -2/3(12c-9)+14c=1 | | y=0.625(x-4)-10 | | W+41= | | x^3+x^2-30x-72=0 | | x^3+x^2-30x-27=0 | | 64-x+4=3(x+4) | | 12x=5x-35 | | -6.8=0.8(x+1) | | 2x-2=z+64 | | Ew=pfore | | (4x)(4x)-4x=2 | | -8m^2+26m-21=0 | | 11-3-2*w= |

Equations solver categories