4x^2-70x+120=0

Simple and best practice solution for 4x^2-70x+120=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^2-70x+120=0 equation: 


Simplifying
4x2 + -70x + 120 = 0

Reorder the terms:
120 + -70x + 4x2 = 0

Solving
120 + -70x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(60 + -35x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(60 + -35x + 2x2)' equal to zero and attempt to solve:

Simplifying
60 + -35x + 2x2 = 0

Solving
60 + -35x + 2x2 = 0

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

Divide each side by '2'.
30 + -17.5x + x2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -17.5x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + -17.5x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -17.5x + x2 = 0 + -30
-17.5x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
-17.5x + x2 = -30

The x term is -17.5x.  Take half its coefficient (-8.75).
Square it (76.5625) and add it to both sides.

Add '76.5625' to each side of the equation.
-17.5x + 76.5625 + x2 = -30 + 76.5625

Reorder the terms:
76.5625 + -17.5x + x2 = -30 + 76.5625

Combine like terms: -30 + 76.5625 = 46.5625
76.5625 + -17.5x + x2 = 46.5625

Factor a perfect square on the left side:
(x + -8.75)(x + -8.75) = 46.5625

Calculate the square root of the right side: 6.823672032

Break this problem into two subproblems by setting 
(x + -8.75) equal to 6.823672032 and -6.823672032.


Subproblem 1
x + -8.75 = 6.823672032

Simplifying
x + -8.75 = 6.823672032

Reorder the terms:
-8.75 + x = 6.823672032

Solving
-8.75 + x = 6.823672032

Solving for variable 'x'.

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

Add '8.75' to each side of the equation.
-8.75 + 8.75 + x = 6.823672032 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + x = 6.823672032 + 8.75
x = 6.823672032 + 8.75

Combine like terms: 6.823672032 + 8.75 = 15.573672032
x = 15.573672032

Simplifying
x = 15.573672032


Subproblem 2
x + -8.75 = -6.823672032

Simplifying
x + -8.75 = -6.823672032

Reorder the terms:
-8.75 + x = -6.823672032

Solving
-8.75 + x = -6.823672032

Solving for variable 'x'.

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

Add '8.75' to each side of the equation.
-8.75 + 8.75 + x = -6.823672032 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + x = -6.823672032 + 8.75
x = -6.823672032 + 8.75

Combine like terms: -6.823672032 + 8.75 = 1.926327968
x = 1.926327968

Simplifying
x = 1.926327968


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.573672032, 1.926327968}
Solution
x = {15.573672032, 1.926327968}

See similar equations:

| Log(5x)=-2 | | -10-2=10 | | x*2=75+x | | x/2=9-x | | x=-y^2+13y-45 | | x=9/6=7/3=x-6/4 | | 6x-5/x-7 | | X^2+22x-456=0 | | 4(v-9)=2v-28 | | (7u-u)(4u+5)=0 | | k(t)=13t-3 | | 31x=2x | | 3(x+9)=2[x-(3-x)] | | (3b)+b=68 | | 3(x-6)-6(x-3)=x+3-(x-9) | | 1200r+700=1000000 | | (x-2)+(x-2)+(x-2)=36 | | v+-10=-9 | | x/2=75-x | | 3y-8=5y+6 | | 1200r+700a=1000000 | | x/2=x-50 | | x/1-x/1-1/6=7/3 | | 3x-8=5y+6 | | 700+1200R=1000000 | | x/2=100-x | | 7x-1=4+6x | | 4x-5+4x-5= | | 3(x-1)-(x+4)=7(x+1) | | 2p+3=15 | | 4x-5+4x+-5= | | 4x+-5+4x+-5+x+2x+x+2x= |

Equations solver categories