4x^2+40x+7=35

Simple and best practice solution for 4x^2+40x+7=35 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^2+40x+7=35 equation: 


Simplifying
4x2 + 40x + 7 = 35

Reorder the terms:
7 + 40x + 4x2 = 35

Solving
7 + 40x + 4x2 = 35

Solving for variable 'x'.

Reorder the terms:
7 + -35 + 40x + 4x2 = 35 + -35

Combine like terms: 7 + -35 = -28
-28 + 40x + 4x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-28 + 40x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + 10x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
-7 + 10x + x2 = 0

Solving
-7 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + 10x + 7 + x2 = 0 + 7

Reorder the terms:
-7 + 7 + 10x + x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 10x + x2 = 0 + 7
10x + x2 = 0 + 7

Combine like terms: 0 + 7 = 7
10x + x2 = 7

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 7 + 25

Reorder the terms:
25 + 10x + x2 = 7 + 25

Combine like terms: 7 + 25 = 32
25 + 10x + x2 = 32

Factor a perfect square on the left side:
(x + 5)(x + 5) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(x + 5) equal to 5.656854249 and -5.656854249.


Subproblem 1
x + 5 = 5.656854249

Simplifying
x + 5 = 5.656854249

Reorder the terms:
5 + x = 5.656854249

Solving
5 + x = 5.656854249

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 5.656854249 + -5

Combine like terms: 5 + -5 = 0
0 + x = 5.656854249 + -5
x = 5.656854249 + -5

Combine like terms: 5.656854249 + -5 = 0.656854249
x = 0.656854249

Simplifying
x = 0.656854249


Subproblem 2
x + 5 = -5.656854249

Simplifying
x + 5 = -5.656854249

Reorder the terms:
5 + x = -5.656854249

Solving
5 + x = -5.656854249

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -5.656854249 + -5

Combine like terms: 5 + -5 = 0
0 + x = -5.656854249 + -5
x = -5.656854249 + -5

Combine like terms: -5.656854249 + -5 = -10.656854249
x = -10.656854249

Simplifying
x = -10.656854249


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.656854249, -10.656854249}
Solution
x = {0.656854249, -10.656854249}

See similar equations:

| -15b+48=-45 | | -15+48=-45 | | 26x+3=11x+8 | | 2m+2-10= | | 4x+13=y | | =3-4(7+9m)+6m | | =3n-2n^4+n+7n^4-2n | | X=25000-0.05X | | 4x^2+40x+35=7 | | 4x-8-6x+18=0 | | 3log(8*x)+2log(x*8)=7 | | sin(x+0.3)+sin(x-0.3)=2cos(0.3) | | 6x^2+3x+18=6 | | y=5x+22 | | 3.5+9.8y=y+46.9 | | 3(2x+3)=7(x+2) | | 10X=0.02 | | 1-2ln(5x)=0 | | -3(4x+1)=-9x-9 | | Ex=4 | | 4(2x+8)=80 | | 5(2y+1)=3y+8 | | Ln(x)-5=0 | | y+0.6666666667y=-6 | | 4=2y-x | | 4x+2=3x-24 | | -2(x-3)+4(2x-1)=0 | | f(x)=x^2-4c | | 4x^2+4y^2+20x-16y-15=0 | | 16x^2+14x+9= | | 3(x-4)=-2(x-5)-12 | | 6(3+a)= |

Equations solver categories