2x^2-42x+30=0

Simple and best practice solution for 2x^2-42x+30=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 2x^2-42x+30=0 equation: 


Simplifying
2x2 + -42x + 30 = 0

Reorder the terms:
30 + -42x + 2x2 = 0

Solving
30 + -42x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -21x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + -21x + x2)' equal to zero and attempt to solve:

Simplifying
15 + -21x + x2 = 0

Solving
15 + -21x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -21x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -21x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -21x + x2 = 0 + -15
-21x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-21x + x2 = -15

The x term is -21x.  Take half its coefficient (-10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
-21x + 110.25 + x2 = -15 + 110.25

Reorder the terms:
110.25 + -21x + x2 = -15 + 110.25

Combine like terms: -15 + 110.25 = 95.25
110.25 + -21x + x2 = 95.25

Factor a perfect square on the left side:
(x + -10.5)(x + -10.5) = 95.25

Calculate the square root of the right side: 9.759610648

Break this problem into two subproblems by setting 
(x + -10.5) equal to 9.759610648 and -9.759610648.


Subproblem 1
x + -10.5 = 9.759610648

Simplifying
x + -10.5 = 9.759610648

Reorder the terms:
-10.5 + x = 9.759610648

Solving
-10.5 + x = 9.759610648

Solving for variable 'x'.

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

Add '10.5' to each side of the equation.
-10.5 + 10.5 + x = 9.759610648 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + x = 9.759610648 + 10.5
x = 9.759610648 + 10.5

Combine like terms: 9.759610648 + 10.5 = 20.259610648
x = 20.259610648

Simplifying
x = 20.259610648


Subproblem 2
x + -10.5 = -9.759610648

Simplifying
x + -10.5 = -9.759610648

Reorder the terms:
-10.5 + x = -9.759610648

Solving
-10.5 + x = -9.759610648

Solving for variable 'x'.

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

Add '10.5' to each side of the equation.
-10.5 + 10.5 + x = -9.759610648 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + x = -9.759610648 + 10.5
x = -9.759610648 + 10.5

Combine like terms: -9.759610648 + 10.5 = 0.740389352
x = 0.740389352

Simplifying
x = 0.740389352


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {20.259610648, 0.740389352}
Solution
x = {20.259610648, 0.740389352}

See similar equations:

| y^3=2025 | | 3x-(6x+5)=3x-41 | | 65-y=275 | | y^3=1/27 | | 13/13g/6 | | 2x-8=4x-7 | | 1/4(2)= | | 4n-10=6(n+2)+2n | | 9r-9+r-1= | | 14=1+7v+6 | | 5p-6=24 | | 2f=1/4 | | 36a^2-27a+2=0 | | 21x=13+24 | | B-2b=-4 | | -11-6v=v-4 | | x^4-2x^3+3x-1= | | 5g/2-g/3 | | 4x^2-(1/9)y^2 | | 2+8n=5n+2 | | 39-8r=-5(2r-7) | | 4x-4+3x+2=360 | | 1+2sinx=0 | | 6+7p=2 | | 0.14-0.03(x+1)=-0.01(1-x) | | -x+3=3x-17 | | 4y-2x=5 | | 4(y+1)=2(y+2)-3 | | k/18-2=-2 | | 3p-15=13 | | 7n/30=-7/10 | | a^3=.008 |

Equations solver categories