2x(4x-6)=34

Simple and best practice solution for 2x(4x-6)=34 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(4x-6)=34 equation: 


Simplifying
2x(4x + -6) = 34

Reorder the terms:
2x(-6 + 4x) = 34
(-6 * 2x + 4x * 2x) = 34
(-12x + 8x2) = 34

Solving
-12x + 8x2 = 34

Solving for variable 'x'.

Reorder the terms:
-34 + -12x + 8x2 = 34 + -34

Combine like terms: 34 + -34 = 0
-34 + -12x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-17 + -6x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-17 + -6x + 4x2)' equal to zero and attempt to solve:

Simplifying
-17 + -6x + 4x2 = 0

Solving
-17 + -6x + 4x2 = 0

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

Divide each side by '4'.
-4.25 + -1.5x + x2 = 0

Move the constant term to the right:

Add '4.25' to each side of the equation.
-4.25 + -1.5x + 4.25 + x2 = 0 + 4.25

Reorder the terms:
-4.25 + 4.25 + -1.5x + x2 = 0 + 4.25

Combine like terms: -4.25 + 4.25 = 0.00
0.00 + -1.5x + x2 = 0 + 4.25
-1.5x + x2 = 0 + 4.25

Combine like terms: 0 + 4.25 = 4.25
-1.5x + x2 = 4.25

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = 4.25 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 4.25 + 0.5625

Combine like terms: 4.25 + 0.5625 = 4.8125
0.5625 + -1.5x + x2 = 4.8125

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 4.8125

Calculate the square root of the right side: 2.193741097

Break this problem into two subproblems by setting 
(x + -0.75) equal to 2.193741097 and -2.193741097.


Subproblem 1
x + -0.75 = 2.193741097

Simplifying
x + -0.75 = 2.193741097

Reorder the terms:
-0.75 + x = 2.193741097

Solving
-0.75 + x = 2.193741097

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = 2.193741097 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = 2.193741097 + 0.75
x = 2.193741097 + 0.75

Combine like terms: 2.193741097 + 0.75 = 2.943741097
x = 2.943741097

Simplifying
x = 2.943741097


Subproblem 2
x + -0.75 = -2.193741097

Simplifying
x + -0.75 = -2.193741097

Reorder the terms:
-0.75 + x = -2.193741097

Solving
-0.75 + x = -2.193741097

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = -2.193741097 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = -2.193741097 + 0.75
x = -2.193741097 + 0.75

Combine like terms: -2.193741097 + 0.75 = -1.443741097
x = -1.443741097

Simplifying
x = -1.443741097


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.943741097, -1.443741097}
Solution
x = {2.943741097, -1.443741097}

See similar equations:

| 6x+3x+5=68 | | 10.00+2.00a=6 | | 2x-3y^2=8 | | 2*ln(5x)-6=0 | | 12a+36= | | 2j-1=j+8-2j | | 2x^2+4x-2= | | 4(3n-1.2)-0.5=9.5n+6.2 | | -3x(x+4)+3=7(x+3)+6 | | 2x^2+9x-3= | | 3x+20=40-2x | | 5(x-8)+7(6+4x)=-13 | | 2(3x-1)=-4 | | -0.1x+0.6x+6=7 | | 4(-4+5)+7(-4+8)= | | 3(y-2)=42 | | n+5-8=84 | | n+5-8=84 | | 5X-40+42+28X=-13 | | 26-m=-40 | | 8x(3x^2-2x+4)= | | 2y^2-12+5y=0 | | -3h+18h+-13h=20 | | -1x=18 | | T+15=-17 | | -12x+6x=18 | | -3n+11+7n=27 | | 0x+3=3x | | -11c+-8c+20c=7 | | x-3=3x+11 | | 0x+3=0x | | 250+20h=300 |

Equations solver categories