7x(5x+2)=20

Simple and best practice solution for 7x(5x+2)=20 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 7x(5x+2)=20 equation:


Simplifying
7x(5x + 2) = 20

Reorder the terms:
7x(2 + 5x) = 20
(2 * 7x + 5x * 7x) = 20
(14x + 35x2) = 20

Solving
14x + 35x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 14x + 35x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 14x + 35x2 = 0

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

Divide each side by '35'.
-0.5714285714 + 0.4x + x2 = 0

Move the constant term to the right:

Add '0.5714285714' to each side of the equation.
-0.5714285714 + 0.4x + 0.5714285714 + x2 = 0 + 0.5714285714

Reorder the terms:
-0.5714285714 + 0.5714285714 + 0.4x + x2 = 0 + 0.5714285714

Combine like terms: -0.5714285714 + 0.5714285714 = 0.0000000000
0.0000000000 + 0.4x + x2 = 0 + 0.5714285714
0.4x + x2 = 0 + 0.5714285714

Combine like terms: 0 + 0.5714285714 = 0.5714285714
0.4x + x2 = 0.5714285714

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = 0.5714285714 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = 0.5714285714 + 0.04

Combine like terms: 0.5714285714 + 0.04 = 0.6114285714
0.04 + 0.4x + x2 = 0.6114285714

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = 0.6114285714

Calculate the square root of the right side: 0.781938982

Break this problem into two subproblems by setting 
(x + 0.2) equal to 0.781938982 and -0.781938982.

Subproblem 1

x + 0.2 = 0.781938982 Simplifying x + 0.2 = 0.781938982 Reorder the terms: 0.2 + x = 0.781938982 Solving 0.2 + x = 0.781938982 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = 0.781938982 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = 0.781938982 + -0.2 x = 0.781938982 + -0.2 Combine like terms: 0.781938982 + -0.2 = 0.581938982 x = 0.581938982 Simplifying x = 0.581938982

Subproblem 2

x + 0.2 = -0.781938982 Simplifying x + 0.2 = -0.781938982 Reorder the terms: 0.2 + x = -0.781938982 Solving 0.2 + x = -0.781938982 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = -0.781938982 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = -0.781938982 + -0.2 x = -0.781938982 + -0.2 Combine like terms: -0.781938982 + -0.2 = -0.981938982 x = -0.981938982 Simplifying x = -0.981938982

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.581938982, -0.981938982}

See similar equations:

| (x-1)/4=(7/8) | | -34=3y-16 | | 14+19+x-3=17 | | 9C(c-11)+10(5c-3)=c(6c-3)+c(6c-3)-30 | | 24=6l+2w | | 34=3y-11 | | 6y+9-4y=(-3) | | 7x-5x+2=20 | | m=1.5+3n | | 1.6(2x-1)=2(0.4x+0.7) | | k^2+3k+8=0 | | 25=w/4+9 | | -4+6x-4=4 | | 5*a+3=3*1*2a | | 5k+10=6k-18 | | 1/6(z-4)=1/2(z+5) | | 2(x^2+7x-260)=0 | | 4/3=2x/3-x/3 | | -13=16b-5b+15 | | 2n-7=7+2n | | 0.75+5=16 | | 90=3c-12 | | 200+45e=20+60e | | 23(2g+32)+32-4g= | | .5X+7=2x-2 | | 0.5m+5=24.80 | | 28/2 | | 6n-n=15 | | 2(y-3)+7y=-24 | | y+6=(2/11)x+13 | | 15.5=5+1.5x | | 200+45*15= |

Equations solver categories