4x^2+46x-45=0

Simple and best practice solution for 4x^2+46x-45=0 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+46x-45=0 equation: 


Simplifying
4x2 + 46x + -45 = 0

Reorder the terms:
-45 + 46x + 4x2 = 0

Solving
-45 + 46x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-11.25 + 11.5x + x2 = 0

Move the constant term to the right:

Add '11.25' to each side of the equation.
-11.25 + 11.5x + 11.25 + x2 = 0 + 11.25

Reorder the terms:
-11.25 + 11.25 + 11.5x + x2 = 0 + 11.25

Combine like terms: -11.25 + 11.25 = 0.00
0.00 + 11.5x + x2 = 0 + 11.25
11.5x + x2 = 0 + 11.25

Combine like terms: 0 + 11.25 = 11.25
11.5x + x2 = 11.25

The x term is 11.5x.  Take half its coefficient (5.75).
Square it (33.0625) and add it to both sides.

Add '33.0625' to each side of the equation.
11.5x + 33.0625 + x2 = 11.25 + 33.0625

Reorder the terms:
33.0625 + 11.5x + x2 = 11.25 + 33.0625

Combine like terms: 11.25 + 33.0625 = 44.3125
33.0625 + 11.5x + x2 = 44.3125

Factor a perfect square on the left side:
(x + 5.75)(x + 5.75) = 44.3125

Calculate the square root of the right side: 6.656763478

Break this problem into two subproblems by setting 
(x + 5.75) equal to 6.656763478 and -6.656763478.


Subproblem 1
x + 5.75 = 6.656763478

Simplifying
x + 5.75 = 6.656763478

Reorder the terms:
5.75 + x = 6.656763478

Solving
5.75 + x = 6.656763478

Solving for variable 'x'.

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

Add '-5.75' to each side of the equation.
5.75 + -5.75 + x = 6.656763478 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + x = 6.656763478 + -5.75
x = 6.656763478 + -5.75

Combine like terms: 6.656763478 + -5.75 = 0.906763478
x = 0.906763478

Simplifying
x = 0.906763478


Subproblem 2
x + 5.75 = -6.656763478

Simplifying
x + 5.75 = -6.656763478

Reorder the terms:
5.75 + x = -6.656763478

Solving
5.75 + x = -6.656763478

Solving for variable 'x'.

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

Add '-5.75' to each side of the equation.
5.75 + -5.75 + x = -6.656763478 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + x = -6.656763478 + -5.75
x = -6.656763478 + -5.75

Combine like terms: -6.656763478 + -5.75 = -12.406763478
x = -12.406763478

Simplifying
x = -12.406763478


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.906763478, -12.406763478}

See similar equations:

| (11t+10)(t-1)=0 | | -2w-8=2w+8 | | 5-q=15 | | -82=65331357-5x | | 9x(x-5)=5x^2-46X | | 3n-9=6n | | Logx^7-logx^4=3 | | 15=q-5 | | 2[-(x-1)+4]=5[-(6x-7)+9x] | | 0.50x+0.05(90)=0.25(90) | | 2w-5(7x-6w)-3x= | | (2x-3)(x-7)=3 | | 1=u-15 | | -w-2(-x+5w)+3x= | | 9(2x-8)=17x+50 | | X=290-2y | | 69=4u+9 | | 1(1+1)=x | | -3=2y-3 | | 7h+2=-7 | | -6a-(-8b-7)+(14a+8)= | | (2x-27)+(2x+11)=100 | | 45+2x=3x+20 | | 2(9t+1)=t+9+t-7 | | -2(-4x-3y)-4(5y-x)= | | (N-13)/12=3 | | 20c+5=9c-2+40 | | 7w-6(x-2w)+x= | | 2(6t-1)=t+9+t-7 | | 0.50=ln(y)solvey | | 2y-80=47 | | y-2(-6z+5y)+6z= |

Equations solver categories