x^2-3.5x=11.76

Simple and best practice solution for x^2-3.5x=11.76 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^2-3.5x=11.76 equation: 


Simplifying
x2 + -3.5x = 11.76

Reorder the terms:
-3.5x + x2 = 11.76

Solving
-3.5x + x2 = 11.76

Solving for variable 'x'.

Reorder the terms:
-11.76 + -3.5x + x2 = 11.76 + -11.76

Combine like terms: 11.76 + -11.76 = 0.00
-11.76 + -3.5x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '11.76' to each side of the equation.
-11.76 + -3.5x + 11.76 + x2 = 0.00 + 11.76

Reorder the terms:
-11.76 + 11.76 + -3.5x + x2 = 0.00 + 11.76

Combine like terms: -11.76 + 11.76 = 0.00
0.00 + -3.5x + x2 = 0.00 + 11.76
-3.5x + x2 = 0.00 + 11.76

Combine like terms: 0.00 + 11.76 = 11.76
-3.5x + x2 = 11.76

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = 11.76 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = 11.76 + 3.0625

Combine like terms: 11.76 + 3.0625 = 14.8225
3.0625 + -3.5x + x2 = 14.8225

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = 14.8225

Calculate the square root of the right side: 3.85

Break this problem into two subproblems by setting 
(x + -1.75) equal to 3.85 and -3.85.


Subproblem 1
x + -1.75 = 3.85

Simplifying
x + -1.75 = 3.85

Reorder the terms:
-1.75 + x = 3.85

Solving
-1.75 + x = 3.85

Solving for variable 'x'.

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

Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = 3.85 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = 3.85 + 1.75
x = 3.85 + 1.75

Combine like terms: 3.85 + 1.75 = 5.6
x = 5.6

Simplifying
x = 5.6


Subproblem 2
x + -1.75 = -3.85

Simplifying
x + -1.75 = -3.85

Reorder the terms:
-1.75 + x = -3.85

Solving
-1.75 + x = -3.85

Solving for variable 'x'.

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

Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = -3.85 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = -3.85 + 1.75
x = -3.85 + 1.75

Combine like terms: -3.85 + 1.75 = -2.1
x = -2.1

Simplifying
x = -2.1


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.6, -2.1}

See similar equations:

| 7/p=9/2 | | 3.1x+4.12=2.63 | | 9x^2+4=29 | | 4x=2x+25 | | 3a-4+5a+7+2(a+1)= | | 15-g=4 | | b/5=-8 | | 5x-6=3x-20 | | 3*0-2*4=12 | | 122+88+x+10+3x= | | 8x-3y=46 | | 5x-6=3-20 | | 5=a/8 | | x-3/8=-5/4 | | 8j+4=-23 | | 56.5=19.75+3n | | p/3=11 | | K-2=5 | | F(x)=(3x+49) | | 132=12v | | 4x+7x=-2 | | 20=r/19 | | 8x=5y+2 | | (7x^5y^4)(-3x^2y)= | | 2.5n-6.1+5n=-24.85 | | C=.75(285.7) | | 9/3÷3/9 | | 28-5=2+3(x+2) | | 5(2x-1)=2(6x-3)+4x-2 | | 10.66+x+0.01=12.87 | | 14.84x+13.29=6.31 | | C=.4p+100 |

Equations solver categories