(2x-3)(x)=48

Simple and best practice solution for (2x-3)(x)=48 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-3)(x)=48 equation:


Simplifying
(2x + -3)(x) = 48

Reorder the terms:
(-3 + 2x)(x) = 48

Reorder the terms for easier multiplication:
x(-3 + 2x) = 48
(-3 * x + 2x * x) = 48
(-3x + 2x2) = 48

Solving
-3x + 2x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + -3x + 2x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -3x + 2x2 = 0

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

Divide each side by '2'.
-24 + -1.5x + x2 = 0

Move the constant term to the right:

Add '24' to each side of the equation.
-24 + -1.5x + 24 + x2 = 0 + 24

Reorder the terms:
-24 + 24 + -1.5x + x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1.5x + x2 = 0 + 24
-1.5x + x2 = 0 + 24

Combine like terms: 0 + 24 = 24
-1.5x + x2 = 24

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 = 24 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 24 + 0.5625

Combine like terms: 24 + 0.5625 = 24.5625
0.5625 + -1.5x + x2 = 24.5625

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 24.5625

Calculate the square root of the right side: 4.9560569

Break this problem into two subproblems by setting 
(x + -0.75) equal to 4.9560569 and -4.9560569.

Subproblem 1

x + -0.75 = 4.9560569 Simplifying x + -0.75 = 4.9560569 Reorder the terms: -0.75 + x = 4.9560569 Solving -0.75 + x = 4.9560569 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 = 4.9560569 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 4.9560569 + 0.75 x = 4.9560569 + 0.75 Combine like terms: 4.9560569 + 0.75 = 5.7060569 x = 5.7060569 Simplifying x = 5.7060569

Subproblem 2

x + -0.75 = -4.9560569 Simplifying x + -0.75 = -4.9560569 Reorder the terms: -0.75 + x = -4.9560569 Solving -0.75 + x = -4.9560569 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 = -4.9560569 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -4.9560569 + 0.75 x = -4.9560569 + 0.75 Combine like terms: -4.9560569 + 0.75 = -4.2060569 x = -4.2060569 Simplifying x = -4.2060569

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.7060569, -4.2060569}

See similar equations:

| x*2+5=15 | | 3x^2+8x+7=0 | | 6+x=(6-1)+3 | | x^2*9+x=3x | | M^3+2M^2-9M-18=0 | | -3x^2-12=14x | | 3.15s-35.5=663.25 | | -43=6+7x | | x+3=(-2x+2)*5 | | 8x-(2x+5)= | | 4x+2y+1=0 | | p/4+1=-1 | | 8x-(6x+4)=12 | | x^2+18=8x | | 3(y+7)=2(y+a) | | -40.04-12.76w=36.52 | | 5r+27=31+5r | | -4y=-10 | | 2x^2+x^2=25 | | 8x^2-18x+10=0 | | -0.75r=-9 | | -4x+7y=-33 | | 8w-5(2w+7)=2w-9 | | 9y+9=12y+9 | | 4x^2+5=10x | | 2x^2*4u^5x^3*6u= | | X^3-36=180 | | -9+5=7x | | 64=4x+x^2 | | 20z=-120 | | 8x+11=-77 | | (3y+28)(3y+22)=0 |

Equations solver categories