x(x+5)=70

Simple and best practice solution for x(x+5)=70 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(x+5)=70 equation: 


Simplifying
x(x + 5) = 70

Reorder the terms:
x(5 + x) = 70
(5 * x + x * x) = 70
(5x + x2) = 70

Solving
5x + x2 = 70

Solving for variable 'x'.

Reorder the terms:
-70 + 5x + x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + 5x + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + 5x + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 5x + x2 = 0 + 70
5x + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
5x + x2 = 70

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 = 70 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 70 + 6.25

Combine like terms: 70 + 6.25 = 76.25
6.25 + 5x + x2 = 76.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 76.25

Calculate the square root of the right side: 8.732124598

Break this problem into two subproblems by setting 
(x + 2.5) equal to 8.732124598 and -8.732124598.


Subproblem 1
x + 2.5 = 8.732124598

Simplifying
x + 2.5 = 8.732124598

Reorder the terms:
2.5 + x = 8.732124598

Solving
2.5 + x = 8.732124598

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 = 8.732124598 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 8.732124598 + -2.5
x = 8.732124598 + -2.5

Combine like terms: 8.732124598 + -2.5 = 6.232124598
x = 6.232124598

Simplifying
x = 6.232124598


Subproblem 2
x + 2.5 = -8.732124598

Simplifying
x + 2.5 = -8.732124598

Reorder the terms:
2.5 + x = -8.732124598

Solving
2.5 + x = -8.732124598

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 = -8.732124598 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -8.732124598 + -2.5
x = -8.732124598 + -2.5

Combine like terms: -8.732124598 + -2.5 = -11.232124598
x = -11.232124598

Simplifying
x = -11.232124598


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.232124598, -11.232124598}

See similar equations:

| 5x-3x+7=2(x-3) | | 8(a+1)=60 | | 1=3p-2 | | 5a-8=60 | | 20.7=3c-3 | | -(3x-5)+30=104 | | 56=7x^2 | | -5(2t+3)=-65 | | 7e-5=39.8 | | 4K*3*9k= | | 4p=2.4 | | 12x-(x+10)=23 | | -0.375x-10=20 | | 6a+3b-12a-3b= | | -0.375-10=20 | | 64x^3-9=0 | | 4(a+9)=44 | | -2(x+6)+10=-96 | | 28=7c-3 | | -4(n+8)= | | (4x-10)(9x-8)= | | 1x+16=8x+56 | | -9/24-10=20 | | x^3-6x^2+0x+20=0 | | 5e-4=31 | | 3x-12+x-4=3 | | -8x+3x+11=46 | | 5+20(x-2)=19 | | 53-4=31 | | 5+20+x=5x+5 | | 4(3s+7)=40 | | 20x-9=2x+9 |

Equations solver categories