2x(x)-4(x)=148

Simple and best practice solution for 2x(x)-4(x)=148 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(x)-4(x)=148 equation: 


Simplifying
2x(x) + -4(x) = 148

Multiply x * x
2x2 + -4(x) = 148

Reorder the terms:
-4x + 2x2 = 148

Solving
-4x + 2x2 = 148

Solving for variable 'x'.

Reorder the terms:
-148 + -4x + 2x2 = 148 + -148

Combine like terms: 148 + -148 = 0
-148 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-74 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-74 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-74 + -2x + x2 = 0

Solving
-74 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '74' to each side of the equation.
-74 + -2x + 74 + x2 = 0 + 74

Reorder the terms:
-74 + 74 + -2x + x2 = 0 + 74

Combine like terms: -74 + 74 = 0
0 + -2x + x2 = 0 + 74
-2x + x2 = 0 + 74

Combine like terms: 0 + 74 = 74
-2x + x2 = 74

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 74 + 1

Reorder the terms:
1 + -2x + x2 = 74 + 1

Combine like terms: 74 + 1 = 75
1 + -2x + x2 = 75

Factor a perfect square on the left side:
(x + -1)(x + -1) = 75

Calculate the square root of the right side: 8.660254038

Break this problem into two subproblems by setting 
(x + -1) equal to 8.660254038 and -8.660254038.


Subproblem 1
x + -1 = 8.660254038

Simplifying
x + -1 = 8.660254038

Reorder the terms:
-1 + x = 8.660254038

Solving
-1 + x = 8.660254038

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = 8.660254038 + 1

Combine like terms: -1 + 1 = 0
0 + x = 8.660254038 + 1
x = 8.660254038 + 1

Combine like terms: 8.660254038 + 1 = 9.660254038
x = 9.660254038

Simplifying
x = 9.660254038


Subproblem 2
x + -1 = -8.660254038

Simplifying
x + -1 = -8.660254038

Reorder the terms:
-1 + x = -8.660254038

Solving
-1 + x = -8.660254038

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = -8.660254038 + 1

Combine like terms: -1 + 1 = 0
0 + x = -8.660254038 + 1
x = -8.660254038 + 1

Combine like terms: -8.660254038 + 1 = -7.660254038
x = -7.660254038

Simplifying
x = -7.660254038


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.660254038, -7.660254038}
Solution
x = {9.660254038, -7.660254038}

See similar equations:

| .25(2d+1)= | | 45j-6+1=108 | | 3x^2+7x=172 | | 5651.8116=2*3.14r^2+2*3.14*r*55.6 | | 5[3x-(-3-x)+2]=-4x-28 | | -3=3t-54 | | 5x-3x=13-5 | | (3x-35)+130=180 | | 0.5(-3a-7)-0.75(2a)=-a+7 | | 3w^3+21w^2+36w=0 | | x-(4)=15 | | (k-2)(7k-3)=0 | | 2-4=6 | | Cos^2x-1-sin^2x+sinx=0 | | 225+1=1+3x+1 | | 10-5=18 | | X^2-x+39=0 | | 2x+5y=2z | | 5p+38=-7(4+4p) | | 500-3a=200 | | a(a+1)=10 | | h=-9.8t+45t+1 | | 26=x-4 | | -6x+1=7(4x+5) | | 7y-6=15y+42 | | 3x^2-x-3=x^2 | | 12x-4x-9x^2=0 | | 0.7z=-105 | | 41+x-3=-13y | | -(3xy-11)+4(4xy+5)= | | x^5+30=273 | | 5x-8x+22=2x+27 |

Equations solver categories