x(2x+10)=91

Simple and best practice solution for x(2x+10)=91 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(2x+10)=91 equation:


Simplifying
x(2x + 10) = 91

Reorder the terms:
x(10 + 2x) = 91
(10 * x + 2x * x) = 91
(10x + 2x2) = 91

Solving
10x + 2x2 = 91

Solving for variable 'x'.

Reorder the terms:
-91 + 10x + 2x2 = 91 + -91

Combine like terms: 91 + -91 = 0
-91 + 10x + 2x2 = 0

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

Divide each side by '2'.
-45.5 + 5x + x2 = 0

Move the constant term to the right:

Add '45.5' to each side of the equation.
-45.5 + 5x + 45.5 + x2 = 0 + 45.5

Reorder the terms:
-45.5 + 45.5 + 5x + x2 = 0 + 45.5

Combine like terms: -45.5 + 45.5 = 0.0
0.0 + 5x + x2 = 0 + 45.5
5x + x2 = 0 + 45.5

Combine like terms: 0 + 45.5 = 45.5
5x + x2 = 45.5

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 45.5 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 45.5 + 6.25

Combine like terms: 45.5 + 6.25 = 51.75
6.25 + 5x + x2 = 51.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 51.75

Calculate the square root of the right side: 7.193747285

Break this problem into two subproblems by setting 
(x + 2.5) equal to 7.193747285 and -7.193747285.

Subproblem 1

x + 2.5 = 7.193747285 Simplifying x + 2.5 = 7.193747285 Reorder the terms: 2.5 + x = 7.193747285 Solving 2.5 + x = 7.193747285 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 7.193747285 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 7.193747285 + -2.5 x = 7.193747285 + -2.5 Combine like terms: 7.193747285 + -2.5 = 4.693747285 x = 4.693747285 Simplifying x = 4.693747285

Subproblem 2

x + 2.5 = -7.193747285 Simplifying x + 2.5 = -7.193747285 Reorder the terms: 2.5 + x = -7.193747285 Solving 2.5 + x = -7.193747285 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -7.193747285 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -7.193747285 + -2.5 x = -7.193747285 + -2.5 Combine like terms: -7.193747285 + -2.5 = -9.693747285 x = -9.693747285 Simplifying x = -9.693747285

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.693747285, -9.693747285}

See similar equations:

| 5x+17x=3x+6x-36 | | 12x^2-7x-45=0 | | 6x^2-75=0 | | 96-55= | | 15.00(17.00+x)=555 | | -1/9(z-4)=1/6(z-3) | | 2(x^2-3)=44 | | 4-(2x+3)=7 | | -7/8=5/6y | | x-4.5=2.2 | | 75/2=3000/y | | x-41/2=21/5 | | -6y+6=-2(3y-3) | | 4x+4=7x+16 | | Y^2+8x+8=0 | | s^2=100 | | 1=z-6 | | (-5/9)+2/3-(1/6) | | -(9x-9x+9)= | | -2.2-4.5= | | (-5/9)2/3-(1/6) | | x+57/9=5 | | 4.5-2.2= | | 2(7x+(-4))(7x+4)= | | 5x-19/-3=-7 | | 2y+26=-2(-y+9) | | (7x+4)-(3x-4)= | | 6x-x^2=9 | | 3m-15=m-7 | | (3x-14)+(2x+9)=90 | | 2x+15-4+7x=74 | | 1+x=25 |

Equations solver categories