(2x-7)(4x+3)=128

Simple and best practice solution for (2x-7)(4x+3)=128 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-7)(4x+3)=128 equation:


Simplifying
(2x + -7)(4x + 3) = 128

Reorder the terms:
(-7 + 2x)(4x + 3) = 128

Reorder the terms:
(-7 + 2x)(3 + 4x) = 128

Multiply (-7 + 2x) * (3 + 4x)
(-7(3 + 4x) + 2x * (3 + 4x)) = 128
((3 * -7 + 4x * -7) + 2x * (3 + 4x)) = 128
((-21 + -28x) + 2x * (3 + 4x)) = 128
(-21 + -28x + (3 * 2x + 4x * 2x)) = 128
(-21 + -28x + (6x + 8x2)) = 128

Combine like terms: -28x + 6x = -22x
(-21 + -22x + 8x2) = 128

Solving
-21 + -22x + 8x2 = 128

Solving for variable 'x'.

Reorder the terms:
-21 + -128 + -22x + 8x2 = 128 + -128

Combine like terms: -21 + -128 = -149
-149 + -22x + 8x2 = 128 + -128

Combine like terms: 128 + -128 = 0
-149 + -22x + 8x2 = 0

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

Divide each side by '8'.
-18.625 + -2.75x + x2 = 0

Move the constant term to the right:

Add '18.625' to each side of the equation.
-18.625 + -2.75x + 18.625 + x2 = 0 + 18.625

Reorder the terms:
-18.625 + 18.625 + -2.75x + x2 = 0 + 18.625

Combine like terms: -18.625 + 18.625 = 0.000
0.000 + -2.75x + x2 = 0 + 18.625
-2.75x + x2 = 0 + 18.625

Combine like terms: 0 + 18.625 = 18.625
-2.75x + x2 = 18.625

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = 18.625 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = 18.625 + 1.890625

Combine like terms: 18.625 + 1.890625 = 20.515625
1.890625 + -2.75x + x2 = 20.515625

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = 20.515625

Calculate the square root of the right side: 4.529417733

Break this problem into two subproblems by setting 
(x + -1.375) equal to 4.529417733 and -4.529417733.

Subproblem 1

x + -1.375 = 4.529417733 Simplifying x + -1.375 = 4.529417733 Reorder the terms: -1.375 + x = 4.529417733 Solving -1.375 + x = 4.529417733 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + x = 4.529417733 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + x = 4.529417733 + 1.375 x = 4.529417733 + 1.375 Combine like terms: 4.529417733 + 1.375 = 5.904417733 x = 5.904417733 Simplifying x = 5.904417733

Subproblem 2

x + -1.375 = -4.529417733 Simplifying x + -1.375 = -4.529417733 Reorder the terms: -1.375 + x = -4.529417733 Solving -1.375 + x = -4.529417733 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + x = -4.529417733 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + x = -4.529417733 + 1.375 x = -4.529417733 + 1.375 Combine like terms: -4.529417733 + 1.375 = -3.154417733 x = -3.154417733 Simplifying x = -3.154417733

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.904417733, -3.154417733}

See similar equations:

| X-3/4y=16 | | 12-n=8n-6 | | -22x-5=18 | | 3+5x/5=4-x/8 | | 2x+4-x=9 | | 7-5/3c=22 | | -22x-5=28 | | 2-3p+4=4(p+4)-2p | | 1/2x+y=1/5 | | 3/13x-1/3x=4/9+1 | | 2/x+8=-3 | | x=7+3ax | | 1/2x+7-1/4x=19/2 | | 11y-3=y-13 | | 58.80=(56+62+x)/3 | | 5/a-2=-13 | | 2x+3x-4x-5+6x= | | 5x+3-2=7x+3 | | 3(2w-5)+3=6(w+2) | | x-2y+1=0 | | x-0.01=12.2-2.3x | | 3x+1+1/2+3=18 | | 15-9=23-2g | | 3(4x+2)+11=15x+1-3x+16 | | x2=9/256 | | (6)=36-4 | | H=vt-5t^2forv | | 3(g+2)-2(g-4)=8-g | | 25a^2+10ab-3b^2=0 | | -6-1=c | | (1/2)(6-z)=z | | -6(x+1)=-4(x+3) |

Equations solver categories