x^2-7x=50

Simple and best practice solution for x^2-7x=50 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^2-7x=50 equation:


Simplifying
x2 + -7x = 50

Reorder the terms:
-7x + x2 = 50

Solving
-7x + x2 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + -7x + x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + -7x + 50 + x2 = 0 + 50

Reorder the terms:
-50 + 50 + -7x + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -7x + x2 = 0 + 50
-7x + x2 = 0 + 50

Combine like terms: 0 + 50 = 50
-7x + x2 = 50

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 = 50 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 50 + 12.25

Combine like terms: 50 + 12.25 = 62.25
12.25 + -7x + x2 = 62.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 62.25

Calculate the square root of the right side: 7.889866919

Break this problem into two subproblems by setting 
(x + -3.5) equal to 7.889866919 and -7.889866919.

Subproblem 1

x + -3.5 = 7.889866919 Simplifying x + -3.5 = 7.889866919 Reorder the terms: -3.5 + x = 7.889866919 Solving -3.5 + x = 7.889866919 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 = 7.889866919 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = 7.889866919 + 3.5 x = 7.889866919 + 3.5 Combine like terms: 7.889866919 + 3.5 = 11.389866919 x = 11.389866919 Simplifying x = 11.389866919

Subproblem 2

x + -3.5 = -7.889866919 Simplifying x + -3.5 = -7.889866919 Reorder the terms: -3.5 + x = -7.889866919 Solving -3.5 + x = -7.889866919 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 = -7.889866919 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = -7.889866919 + 3.5 x = -7.889866919 + 3.5 Combine like terms: -7.889866919 + 3.5 = -4.389866919 x = -4.389866919 Simplifying x = -4.389866919

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.389866919, -4.389866919}

See similar equations:

| 3x+121=x^2+10x+25 | | 11-x/2=60 | | 6=x/-3 | | m/2+m/3=6 | | ab+2b=3a-4b | | (3t^2-8)(t^2+5)= | | r^2+14+9r=0 | | -5n=13(0)-3m | | -5/3(y-12)-1/6y | | m/2+m+3=6 | | g/2 | | 5/(x+2)+10/(x+1) | | 93.2=1.8+32 | | ((3x+2)/(x^2+7x+12)) | | 8x+4-8x+5= | | 2/3x=1/2x+1/3 | | 7(x+2)=12x | | a/-5=-11 | | 3x+10=15+(x+17) | | b/4+1/7=15 | | 211/48-1/6*33/8 | | 7/x-5+2=x+2/x-5 | | 3x-40=0.5x+35 | | 12+8/4-(42/7)+27 | | 3x+5x=16*15 | | y=7/2x-1 | | 4(x+1)=-6 | | 8x(x^2)+11x^2-10x=0 | | 3(2a+5c)-2(4a-6c)= | | 8.50x+15=49 | | 2x-8+x+50=87 | | 3.8+1.2z-(5.7y+7.5z)= |

Equations solver categories