x^2-12x-43=-5x-1

Simple and best practice solution for x^2-12x-43=-5x-1 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^2-12x-43=-5x-1 equation:


Simplifying
x2 + -12x + -43 = -5x + -1

Reorder the terms:
-43 + -12x + x2 = -5x + -1

Reorder the terms:
-43 + -12x + x2 = -1 + -5x

Solving
-43 + -12x + x2 = -1 + -5x

Solving for variable 'x'.

Reorder the terms:
-43 + 1 + -12x + 5x + x2 = -1 + -5x + 1 + 5x

Combine like terms: -43 + 1 = -42
-42 + -12x + 5x + x2 = -1 + -5x + 1 + 5x

Combine like terms: -12x + 5x = -7x
-42 + -7x + x2 = -1 + -5x + 1 + 5x

Reorder the terms:
-42 + -7x + x2 = -1 + 1 + -5x + 5x

Combine like terms: -1 + 1 = 0
-42 + -7x + x2 = 0 + -5x + 5x
-42 + -7x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-42 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '42' to each side of the equation.
-42 + -7x + 42 + x2 = 0 + 42

Reorder the terms:
-42 + 42 + -7x + x2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -7x + x2 = 0 + 42
-7x + x2 = 0 + 42

Combine like terms: 0 + 42 = 42
-7x + x2 = 42

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 42 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 42 + 12.25

Combine like terms: 42 + 12.25 = 54.25
12.25 + -7x + x2 = 54.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 54.25

Calculate the square root of the right side: 7.365459931

Break this problem into two subproblems by setting 
(x + -3.5) equal to 7.365459931 and -7.365459931.

Subproblem 1

x + -3.5 = 7.365459931 Simplifying x + -3.5 = 7.365459931 Reorder the terms: -3.5 + x = 7.365459931 Solving -3.5 + x = 7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = 7.365459931 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = 7.365459931 + 3.5 x = 7.365459931 + 3.5 Combine like terms: 7.365459931 + 3.5 = 10.865459931 x = 10.865459931 Simplifying x = 10.865459931

Subproblem 2

x + -3.5 = -7.365459931 Simplifying x + -3.5 = -7.365459931 Reorder the terms: -3.5 + x = -7.365459931 Solving -3.5 + x = -7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = -7.365459931 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = -7.365459931 + 3.5 x = -7.365459931 + 3.5 Combine like terms: -7.365459931 + 3.5 = -3.865459931 x = -3.865459931 Simplifying x = -3.865459931

Solution

The solution to the problem is based on the solutions from the subproblems. x = {10.865459931, -3.865459931}

See similar equations:

| 15x^2+32x-7=0 | | 2-(4x+7)= | | 2x+38=11x+52 | | 2x+38=6x+1 | | 0=2x^2+4x-30 | | p^2+8=0 | | 5.4x=9.6 | | 20(0.2n+0.28)=3.98-(0.3-3.92n) | | -4x+10=2 | | 10x+7=3x-1 | | 1.5(x+8)=3.2+0.7x | | F(3)=(3-1)-2 | | -5=x+(-18) | | -16=x-(-29) | | 27+x=17 | | F(0)=(0-1)-2 | | 9=n-2 | | 5(7x-4)=92 | | 27x^6-1=0 | | 2h^12+16h^9= | | n^2+100n+2510=0 | | 3(x-3)+7(x-2)= | | -v-3=-1-3v | | 3(3x+15)-(10-x)=35 | | -6(7r+2)-(8r+7)-6r+9= | | F(-2)=(-2-1)-2 | | 6-6(8x+7)+7(7-x)-(-4x)= | | 5-2(x+2)= | | -2(0)=2*3-1 | | 2(3x-4)=83 | | -2(-7x+8)=96 | | 32.8x=295.2 |

Equations solver categories