25x^2-146x-234=0

Simple and best practice solution for 25x^2-146x-234=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 25x^2-146x-234=0 equation:


Simplifying
25x2 + -146x + -234 = 0

Reorder the terms:
-234 + -146x + 25x2 = 0

Solving
-234 + -146x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
-9.36 + -5.84x + x2 = 0

Move the constant term to the right:

Add '9.36' to each side of the equation.
-9.36 + -5.84x + 9.36 + x2 = 0 + 9.36

Reorder the terms:
-9.36 + 9.36 + -5.84x + x2 = 0 + 9.36

Combine like terms: -9.36 + 9.36 = 0.00
0.00 + -5.84x + x2 = 0 + 9.36
-5.84x + x2 = 0 + 9.36

Combine like terms: 0 + 9.36 = 9.36
-5.84x + x2 = 9.36

The x term is -5.84x.  Take half its coefficient (-2.92).
Square it (8.5264) and add it to both sides.

Add '8.5264' to each side of the equation.
-5.84x + 8.5264 + x2 = 9.36 + 8.5264

Reorder the terms:
8.5264 + -5.84x + x2 = 9.36 + 8.5264

Combine like terms: 9.36 + 8.5264 = 17.8864
8.5264 + -5.84x + x2 = 17.8864

Factor a perfect square on the left side:
(x + -2.92)(x + -2.92) = 17.8864

Calculate the square root of the right side: 4.229231609

Break this problem into two subproblems by setting 
(x + -2.92) equal to 4.229231609 and -4.229231609.

Subproblem 1

x + -2.92 = 4.229231609 Simplifying x + -2.92 = 4.229231609 Reorder the terms: -2.92 + x = 4.229231609 Solving -2.92 + x = 4.229231609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.92' to each side of the equation. -2.92 + 2.92 + x = 4.229231609 + 2.92 Combine like terms: -2.92 + 2.92 = 0.00 0.00 + x = 4.229231609 + 2.92 x = 4.229231609 + 2.92 Combine like terms: 4.229231609 + 2.92 = 7.149231609 x = 7.149231609 Simplifying x = 7.149231609

Subproblem 2

x + -2.92 = -4.229231609 Simplifying x + -2.92 = -4.229231609 Reorder the terms: -2.92 + x = -4.229231609 Solving -2.92 + x = -4.229231609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.92' to each side of the equation. -2.92 + 2.92 + x = -4.229231609 + 2.92 Combine like terms: -2.92 + 2.92 = 0.00 0.00 + x = -4.229231609 + 2.92 x = -4.229231609 + 2.92 Combine like terms: -4.229231609 + 2.92 = -1.309231609 x = -1.309231609 Simplifying x = -1.309231609

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.149231609, -1.309231609}

See similar equations:

| 11x-6x-32=73 | | 16=6x-8-5x | | 4x+5+6x=25 | | -9y=3.69 | | 2(2x+5)=7x+6-3x+4 | | -x-70+7x=80 | | 10x+20x+30=180 | | 9x+5.84=5x+10 | | 11x^2-24x-44=0 | | X^2+6y^2=1 | | -97+x-11x=33 | | y=-tan(x) | | 2/1x-6=2 | | 8x-2=6x+40 | | 25z^2-100z+97=0 | | x-1/2-2=x-7/3 | | 6(x-7.2)=4.8 | | 4/5[=28 | | 7x-(3x+6)=6 | | 3y=20-2y | | 0.4x+0.7=-1.7 | | 11x^2-24x+44=0 | | 7x+11=3x+25 | | 25z^2+97=100 | | 11x^2-22x+44=0 | | 2x=(380/8) | | 6/7b=5-13/14b | | 2(68)=39x+5-11x+9 | | x^2-16=153 | | f(x)=7-x/16 | | 3r-4s=0 | | f(x)=7-x/8 |

Equations solver categories