56x^2-126x+35=0

Simple and best practice solution for 56x^2-126x+35=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 56x^2-126x+35=0 equation: 


Simplifying
56x2 + -126x + 35 = 0

Reorder the terms:
35 + -126x + 56x2 = 0

Solving
35 + -126x + 56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(5 + -18x + 8x2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(5 + -18x + 8x2)' equal to zero and attempt to solve:

Simplifying
5 + -18x + 8x2 = 0

Solving
5 + -18x + 8x2 = 0

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

Divide each side by '8'.
0.625 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + -2.25x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + -2.25x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -2.25x + x2 = 0 + -0.625
-2.25x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
-2.25x + x2 = -0.625

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -0.625 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -0.625 + 1.265625

Combine like terms: -0.625 + 1.265625 = 0.640625
1.265625 + -2.25x + x2 = 0.640625

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = 0.640625

Calculate the square root of the right side: 0.80039053

Break this problem into two subproblems by setting 
(x + -1.125) equal to 0.80039053 and -0.80039053.


Subproblem 1
x + -1.125 = 0.80039053

Simplifying
x + -1.125 = 0.80039053

Reorder the terms:
-1.125 + x = 0.80039053

Solving
-1.125 + x = 0.80039053

Solving for variable 'x'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + x = 0.80039053 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + x = 0.80039053 + 1.125
x = 0.80039053 + 1.125

Combine like terms: 0.80039053 + 1.125 = 1.92539053
x = 1.92539053

Simplifying
x = 1.92539053


Subproblem 2
x + -1.125 = -0.80039053

Simplifying
x + -1.125 = -0.80039053

Reorder the terms:
-1.125 + x = -0.80039053

Solving
-1.125 + x = -0.80039053

Solving for variable 'x'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + x = -0.80039053 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + x = -0.80039053 + 1.125
x = -0.80039053 + 1.125

Combine like terms: -0.80039053 + 1.125 = 0.32460947
x = 0.32460947

Simplifying
x = 0.32460947


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.92539053, 0.32460947}
Solution
x = {1.92539053, 0.32460947}

See similar equations:

| (8x+3)-(3x+8)= | | 6x^3+24x=0 | | x^2-30x-31=0 | | 16e+6=7e-21 | | ln(x)+ln(5x)=-3 | | 3(9-4)-6(4-9)= | | (2x^2+4x-8)+(-2x+3)= | | 3x+5y-(2x-3y)= | | x^2+2*x+2=0 | | 15x^2-86x-24=0 | | x^2+11x-9c+12=0 | | (3x-7)+(-4x-2)= | | x^3+x^2+7x+21= | | 6b^2+b-57=0 | | 5n-11=3n-19 | | -5(k+7)+5k= | | 12X^2+32X+21=0 | | 4-2(v-6)=-6 | | 4x^2+30=46 | | -7x+6z-y-x+12y+4z-6z+2y-11x= | | 15t^2+45t+10=40 | | -1/6(x-12)+1/2(x+2)=x+15 | | 1000+30m=e | | x^2+25x+11= | | -(5y+3)-(-4y-4)=-5 | | 20b-20b= | | (X-10)(X-10)+(X+10)(X+10)= | | .75x-1=12 | | (2x+8)(2x-8)= | | x^2+-11x+30= | | 16(3x-4)=4(12x+3) | | 21x-24x^2+6x=9-24x^2 |

Equations solver categories