4x^2-25x+29=0

Simple and best practice solution for 4x^2-25x+29=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^2-25x+29=0 equation: 


Simplifying
4x2 + -25x + 29 = 0

Reorder the terms:
29 + -25x + 4x2 = 0

Solving
29 + -25x + 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'.
7.25 + -6.25x + x2 = 0

Move the constant term to the right:

Add '-7.25' to each side of the equation.
7.25 + -6.25x + -7.25 + x2 = 0 + -7.25

Reorder the terms:
7.25 + -7.25 + -6.25x + x2 = 0 + -7.25

Combine like terms: 7.25 + -7.25 = 0.00
0.00 + -6.25x + x2 = 0 + -7.25
-6.25x + x2 = 0 + -7.25

Combine like terms: 0 + -7.25 = -7.25
-6.25x + x2 = -7.25

The x term is -6.25x.  Take half its coefficient (-3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
-6.25x + 9.765625 + x2 = -7.25 + 9.765625

Reorder the terms:
9.765625 + -6.25x + x2 = -7.25 + 9.765625

Combine like terms: -7.25 + 9.765625 = 2.515625
9.765625 + -6.25x + x2 = 2.515625

Factor a perfect square on the left side:
(x + -3.125)(x + -3.125) = 2.515625

Calculate the square root of the right side: 1.586072193

Break this problem into two subproblems by setting 
(x + -3.125) equal to 1.586072193 and -1.586072193.


Subproblem 1
x + -3.125 = 1.586072193

Simplifying
x + -3.125 = 1.586072193

Reorder the terms:
-3.125 + x = 1.586072193

Solving
-3.125 + x = 1.586072193

Solving for variable 'x'.

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

Add '3.125' to each side of the equation.
-3.125 + 3.125 + x = 1.586072193 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + x = 1.586072193 + 3.125
x = 1.586072193 + 3.125

Combine like terms: 1.586072193 + 3.125 = 4.711072193
x = 4.711072193

Simplifying
x = 4.711072193


Subproblem 2
x + -3.125 = -1.586072193

Simplifying
x + -3.125 = -1.586072193

Reorder the terms:
-3.125 + x = -1.586072193

Solving
-3.125 + x = -1.586072193

Solving for variable 'x'.

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

Add '3.125' to each side of the equation.
-3.125 + 3.125 + x = -1.586072193 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + x = -1.586072193 + 3.125
x = -1.586072193 + 3.125

Combine like terms: -1.586072193 + 3.125 = 1.538927807
x = 1.538927807

Simplifying
x = 1.538927807


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.711072193, 1.538927807}

See similar equations:

| 9(h-3)+15= | | 9y-5(3y-13)= | | 22+d=31 | | f+5=9 | | 2y-7/(3)-6y-9/(14)=3y-5/(21) | | 2x+2(x+5)=34 | | -7(r*r+2)+3r*r= | | 4+25x=20x+5 | | (2y-7/3)-(6y-9/14)=(3y-5/21) | | 3/7y-9=-6 | | 39+n=75 | | -3(2y+2)-4=-4(y+6)+2y | | 4x-10-12+18x=6 | | x+35=79 | | 2y-7/3-6y-9/14=3y-5/21 | | 61+y=80 | | 6e^2x=9e^4x | | -18=9x-(4x-5) | | x^2-85x-1500=0 | | y=-4/9x-0.8 | | 4cos^2(x)-4cosx+1=0 | | -16+4x=-32+18x | | -5(3n-5)=30 | | 4a-6b=0 | | 4cos^2(x)-4cos(x)+1=0 | | x^2=5(x-3) | | -10=15x-(9x-1) | | s+11=42 | | 3r=59 | | 37-2x=13-8x | | 30=8+x | | -5x+48=8 |

Equations solver categories