4x(5+x)=76

Simple and best practice solution for 4x(5+x)=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 4x(5+x)=76 equation: 


Simplifying
4x(5 + x) = 76
(5 * 4x + x * 4x) = 76
(20x + 4x2) = 76

Solving
20x + 4x2 = 76

Solving for variable 'x'.

Reorder the terms:
-76 + 20x + 4x2 = 76 + -76

Combine like terms: 76 + -76 = 0
-76 + 20x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-19 + 5x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-19 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
-19 + 5x + x2 = 0

Solving
-19 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '19' to each side of the equation.
-19 + 5x + 19 + x2 = 0 + 19

Reorder the terms:
-19 + 19 + 5x + x2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 5x + x2 = 0 + 19
5x + x2 = 0 + 19

Combine like terms: 0 + 19 = 19
5x + x2 = 19

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 = 19 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 19 + 6.25

Combine like terms: 19 + 6.25 = 25.25
6.25 + 5x + x2 = 25.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 25.25

Calculate the square root of the right side: 5.024937811

Break this problem into two subproblems by setting 
(x + 2.5) equal to 5.024937811 and -5.024937811.


Subproblem 1
x + 2.5 = 5.024937811

Simplifying
x + 2.5 = 5.024937811

Reorder the terms:
2.5 + x = 5.024937811

Solving
2.5 + x = 5.024937811

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 = 5.024937811 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 5.024937811 + -2.5
x = 5.024937811 + -2.5

Combine like terms: 5.024937811 + -2.5 = 2.524937811
x = 2.524937811

Simplifying
x = 2.524937811


Subproblem 2
x + 2.5 = -5.024937811

Simplifying
x + 2.5 = -5.024937811

Reorder the terms:
2.5 + x = -5.024937811

Solving
2.5 + x = -5.024937811

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 = -5.024937811 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -5.024937811 + -2.5
x = -5.024937811 + -2.5

Combine like terms: -5.024937811 + -2.5 = -7.524937811
x = -7.524937811

Simplifying
x = -7.524937811


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.524937811, -7.524937811}
Solution
x = {2.524937811, -7.524937811}

See similar equations:

| X-6x-24=0 | | 2n+8(4+3n)=-36-8n | | 0.4(3.2x+2)-x=2x+1 | | 6(1-2x)=3(x+7) | | M^3-10m^2+13m-24=0 | | n+4+7n=-6+3n | | -8(-a-3)=8(4+2a) | | -3p-4p=-2p | | 4x+11=8x-20 | | N+1over-2=15 | | 5(3+4n)-(7n-1)=3 | | 2(x-3)-3(7x-2)=38 | | A=(bx^2)+d | | A=(bc^2)+d | | 3N+17=17 | | -6(x+8)=-84 | | 18t-5t-10t+2=5 | | 2.3=ln(9x) | | 2=7X-5(X+4) | | 4569+-365= | | -0.5=logx | | 7X+6(-2X+3)=-12 | | 6q+4q-8q-1q-1=19 | | y=x*(2) | | 2a^2-18a+36=0 | | X(x+9)-13(x+9)= | | -4X-2(-4X+3)=-42 | | 2x+45=5x | | x=exp(2*y) | | a^3-(125)=0 | | (3x+2)(3x+5)= | | 14=2X+7(-X-3) |

Equations solver categories